pacman::p_load(tmap, sf, sp, DT,
performance, reshape2,
ggpubr, tidyverse)In class Exercise 3
Calibrating Spatial Interaction Models with R
Getting Started
sf - importing, integrating, processing and transforming geospatial data.
tidyverse - importing, integrating, wrangling and visualising data.
tmap - creating thematic maps.
Preparing the Flow Data
The following data will be used:
od_data.rds, weekday morning peak passenger flows at planning subzone level
mpsz.rds, URA Master Plan 2019 Planning Subzone boundary in simple feature tibble data frame format
An additional attribute data file called pop.csv is also used
Importing the mpsz data
mpsz <- read_rds("data/rds/mpsz.rds")
mpszSimple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21 / Singapore TM
First 10 features:
SUBZONE_N SUBZONE_C PLN_AREA_N PLN_AREA_C REGION_N
1 MARINA EAST MESZ01 MARINA EAST ME CENTRAL REGION
2 INSTITUTION HILL RVSZ05 RIVER VALLEY RV CENTRAL REGION
3 ROBERTSON QUAY SRSZ01 SINGAPORE RIVER SR CENTRAL REGION
4 JURONG ISLAND AND BUKOM WISZ01 WESTERN ISLANDS WI WEST REGION
5 FORT CANNING MUSZ02 MUSEUM MU CENTRAL REGION
6 MARINA EAST (MP) MPSZ05 MARINE PARADE MP CENTRAL REGION
7 SUDONG WISZ03 WESTERN ISLANDS WI WEST REGION
8 SEMAKAU WISZ02 WESTERN ISLANDS WI WEST REGION
9 SOUTHERN GROUP SISZ02 SOUTHERN ISLANDS SI CENTRAL REGION
10 SENTOSA SISZ01 SOUTHERN ISLANDS SI CENTRAL REGION
REGION_C geometry
1 CR MULTIPOLYGON (((33222.98 29...
2 CR MULTIPOLYGON (((28481.45 30...
3 CR MULTIPOLYGON (((28087.34 30...
4 WR MULTIPOLYGON (((14557.7 304...
5 CR MULTIPOLYGON (((29542.53 31...
6 CR MULTIPOLYGON (((35279.55 30...
7 WR MULTIPOLYGON (((15772.59 21...
8 WR MULTIPOLYGON (((19843.41 21...
9 CR MULTIPOLYGON (((30870.53 22...
10 CR MULTIPOLYGON (((26879.04 26...Note: mpsz is a tibble dataframe object class
Converting from sf data.table to SpatialPolygonsDataFrame
mpsz is converted from sf tibble data frame to SpatialPolygonsDataFrame of sp object
mpsz_sp <- as(mpsz, "Spatial")
mpsz_spclass : SpatialPolygonsDataFrame
features : 332
extent : 2667.538, 56396.44, 15748.72, 50256.33 (xmin, xmax, ymin, ymax)
crs : +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
variables : 6
names : SUBZONE_N, SUBZONE_C, PLN_AREA_N, PLN_AREA_C, REGION_N, REGION_C
min values : ADMIRALTY, AMSZ01, ANG MO KIO, AM, CENTRAL REGION, CR
max values : YUNNAN, YSSZ09, YISHUN, YS, WEST REGION, WR Computing the distance matrix
Euclidean distance between the centroids of the planning subzones
dist <- spDists(mpsz_sp,
longlat = FALSE)
head(dist, n=c(10, 10)) [,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] 0.000 3926.0025 3939.108 20252.964 2989.9839 1431.330 19211.836
[2,] 3926.003 0.0000 305.737 16513.865 951.8314 5254.066 16242.523
[3,] 3939.108 305.7370 0.000 16412.062 1045.9088 5299.849 16026.146
[4,] 20252.964 16513.8648 16412.062 0.000 17450.3044 21665.795 7229.017
[5,] 2989.984 951.8314 1045.909 17450.304 0.0000 4303.232 17020.916
[6,] 1431.330 5254.0664 5299.849 21665.795 4303.2323 0.000 20617.082
[7,] 19211.836 16242.5230 16026.146 7229.017 17020.9161 20617.082 0.000
[8,] 14960.942 12749.4101 12477.871 11284.279 13336.0421 16281.453 5606.082
[9,] 7515.256 7934.8082 7649.776 18427.503 7801.6163 8403.896 14810.930
[10,] 6391.342 4975.0021 4669.295 15469.566 5226.8731 7707.091 13111.391
[,8] [,9] [,10]
[1,] 14960.942 7515.256 6391.342
[2,] 12749.410 7934.808 4975.002
[3,] 12477.871 7649.776 4669.295
[4,] 11284.279 18427.503 15469.566
[5,] 13336.042 7801.616 5226.873
[6,] 16281.453 8403.896 7707.091
[7,] 5606.082 14810.930 13111.391
[8,] 0.000 9472.024 8575.490
[9,] 9472.024 0.000 3780.800
[10,] 8575.490 3780.800 0.000Note: Output dist is a matrix object class of R. Column heanders and row headers are also not labeled with the planning subzone codes.
Labelling column and row headers of a distance matrix
Create a list sorted according to the the distance matrix by planning sub-zone code.
sz_names <- mpsz$SUBZONE_CAttach SUBZONE_C to row and column for distance matrix matching
colnames(dist) <- paste0(sz_names)
rownames(dist) <- paste0(sz_names)Pivoting distance value by SUBZONE_C
Pivot the distance matrix into a long table by using the row and column subzone codes
distPair <- melt(dist) %>%
rename(dist = value)
head(distPair, 10) Var1 Var2 dist
1 MESZ01 MESZ01 0.000
2 RVSZ05 MESZ01 3926.003
3 SRSZ01 MESZ01 3939.108
4 WISZ01 MESZ01 20252.964
5 MUSZ02 MESZ01 2989.984
6 MPSZ05 MESZ01 1431.330
7 WISZ03 MESZ01 19211.836
8 WISZ02 MESZ01 14960.942
9 SISZ02 MESZ01 7515.256
10 SISZ01 MESZ01 6391.342Note: Within zone distance is 0
Updating intra-zonal distances
Append a constant value to replace the intra-zonal distance of 0.
Select and find out the minimum value of the distance
distPair %>%
filter(dist > 0) %>%
summary() Var1 Var2 dist
MESZ01 : 331 MESZ01 : 331 Min. : 173.8
RVSZ05 : 331 RVSZ05 : 331 1st Qu.: 7149.5
SRSZ01 : 331 SRSZ01 : 331 Median :11890.0
WISZ01 : 331 WISZ01 : 331 Mean :12229.4
MUSZ02 : 331 MUSZ02 : 331 3rd Qu.:16401.7
MPSZ05 : 331 MPSZ05 : 331 Max. :49894.4
(Other):107906 (Other):107906 Constant distance value of 50m is added into intra-zones distance
distPair$dist <- ifelse(distPair$dist == 0,
50, distPair$dist)Check resulting data frame
distPair %>%
summary() Var1 Var2 dist
MESZ01 : 332 MESZ01 : 332 Min. : 50
RVSZ05 : 332 RVSZ05 : 332 1st Qu.: 7097
SRSZ01 : 332 SRSZ01 : 332 Median :11864
WISZ01 : 332 WISZ01 : 332 Mean :12193
MUSZ02 : 332 MUSZ02 : 332 3rd Qu.:16388
MPSZ05 : 332 MPSZ05 : 332 Max. :49894
(Other):108232 (Other):108232 Rename the origin and destination fields
distPair <- distPair %>%
rename(orig = Var1,
dest = Var2)Save the dataframe as rds format
write_rds(distPair, "data/rds/distPair.rds") Preparing flow data
od_data <- read_rds("data/rds/od_data.rds")Compute the total passenger trip between and within planning subzones
flow_data <- od_data %>%
group_by(ORIGIN_SZ, DESTIN_SZ) %>%
summarize(TRIPS = sum(MORNING_PEAK)) `summarise()` has grouped output by 'ORIGIN_SZ'. You can override using the
`.groups` argument.Display flow_data dataframe
head(flow_data, 10)# A tibble: 10 × 3
# Groups: ORIGIN_SZ [1]
ORIGIN_SZ DESTIN_SZ TRIPS
<chr> <chr> <dbl>
1 AMSZ01 AMSZ01 2694
2 AMSZ01 AMSZ02 10591
3 AMSZ01 AMSZ03 14980
4 AMSZ01 AMSZ04 3106
5 AMSZ01 AMSZ05 7734
6 AMSZ01 AMSZ06 2306
7 AMSZ01 AMSZ07 1824
8 AMSZ01 AMSZ08 2734
9 AMSZ01 AMSZ09 2300
10 AMSZ01 AMSZ10 164Separating intra-flow from passenger volume df
Add three new fields in flow_data dataframe
flow_data$FlowNoIntra <- ifelse(
flow_data$ORIGIN_SZ == flow_data$DESTIN_SZ,
0, flow_data$TRIPS)
flow_data$offset <- ifelse(
flow_data$ORIGIN_SZ == flow_data$DESTIN_SZ,
0.000001, 1)Combining passenger volume data with distance value
Convert data value type of ORIGIN_SZ and DESTIN_SZ fields of flow_data dataframe into factor data type
flow_data$ORIGIN_SZ <- as.factor(flow_data$ORIGIN_SZ)
flow_data$DESTIN_SZ <- as.factor(flow_data$DESTIN_SZ)left_join() flow_data dataframe and distPair dataframe
flow_data1 <- flow_data %>%
left_join (distPair,
by = c("ORIGIN_SZ" = "orig",
"DESTIN_SZ" = "dest"))Preparing Origin and Destination Attributes
Importing population data
pop <- read_csv("data/aspatial/pop.csv")Rows: 332 Columns: 5
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (2): PA, SZ
dbl (3): AGE7_12, AGE13_24, AGE25_64
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.Geospatial data wrangling
pop <- pop %>%
left_join(mpsz,
by = c("PA" = "PLN_AREA_N",
"SZ" = "SUBZONE_N")) %>%
select(1:6) %>%
rename(SZ_NAME = SZ,
SZ = SUBZONE_C)Preparing origin attribute
flow_data1 <- flow_data1 %>%
left_join(pop,
by = c(ORIGIN_SZ = "SZ")) %>%
rename(ORIGIN_AGE7_12 = AGE7_12,
ORIGIN_AGE13_24 = AGE13_24,
ORIGIN_AGE25_64 = AGE25_64) %>%
select(-c(PA, SZ_NAME))Preparing destination attribute
flow_data1 <- flow_data1 %>%
left_join(pop,
by = c(DESTIN_SZ = "SZ")) %>%
rename(DESTIN_AGE7_12 = AGE7_12,
DESTIN_AGE13_24 = AGE13_24,
DESTIN_AGE25_64 = AGE25_64) %>%
select(-c(PA, SZ_NAME))Save output as SIM_data.rds
write_rds(flow_data1, "data/rds/SIM_data")Calibrating Spatial Interaction Models
Calibrate Spatial Interaction Models by using Poisson Regression method
Importing the modelling data
SIM_data <- read_rds("data/rds/SIM_data.rds")Visualising the dependent variable
Plot the distribution of the dependent variable (i.e. TRIPS) by using histogram method
ggplot(data = SIM_data,
aes(x = TRIPS)) +
geom_histogram()`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
Note: The distribution is highly skewed and does not resemble a normal distribution
Visualise the relation between the dependent variable (TRIPS) and one of the key independent variable (i.e. distance - dist) in the Spatial Interaction Model
ggplot(data = SIM_data,
aes(x = dist,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
Note: Distance and trips seem to have a poor linear relationship
However, if log transformation is applied to both variables, their relationship is more strongly correlated in a linear fashion
ggplot(data = SIM_data,
aes(x = log(dist),
y = log(TRIPS))) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
Checking for variables with zero values
Since Poisson Regression is based of log and log 0 is undefined, the explanatory variables cannot contain 0 values.
Summary() of Base R is used to compute the summary statistics of all variables in SIM_data data frame
summary(SIM_data) ORIGIN_SZ DESTIN_SZ TRIPS FlowNoIntra
Length:14274 Length:14274 Min. : 1.0 Min. : 1.0
Class :character Class :character 1st Qu.: 11.0 1st Qu.: 11.0
Mode :character Mode :character Median : 56.0 Median : 56.0
Mean : 664.3 Mean : 664.3
3rd Qu.: 296.0 3rd Qu.: 296.0
Max. :104167.0 Max. :104167.0
offset dist ORIGIN_AGE7_12 ORIGIN_AGE13_24 ORIGIN_AGE25_64
Min. :1 Min. : 173.8 Min. : 0 Min. : 0 Min. : 0
1st Qu.:1 1st Qu.: 3465.4 1st Qu.: 240 1st Qu.: 460 1st Qu.: 2210
Median :1 Median : 6121.0 Median : 710 Median : 1400 Median : 7030
Mean :1 Mean : 6951.8 Mean :1037 Mean : 2278 Mean :10536
3rd Qu.:1 3rd Qu.: 9725.1 3rd Qu.:1500 3rd Qu.: 3282 3rd Qu.:15830
Max. :1 Max. :26135.8 Max. :6340 Max. :16380 Max. :74610
DESTIN_AGE7_12 DESTIN_AGE13_24 DESTIN_AGE25_64
Min. : 0 Min. : 0 Min. : 0
1st Qu.: 250 1st Qu.: 460 1st Qu.: 2210
Median : 720 Median : 1430 Median : 7120
Mean :1040 Mean : 2305 Mean :10648
3rd Qu.:1500 3rd Qu.: 3290 3rd Qu.:15830
Max. :6340 Max. :16380 Max. :74610 The report above reveals that there are 0 values in variables: ORIGIN_AGE7_12, ORIGIN_AGE13_24, ORIGIN_AGE25_64,DESTIN_AGE7_12, DESTIN_AGE13_24, DESTIN_AGE25_64.
0 values are repalced with a small value 0.99
SIM_data$DESTIN_AGE7_12 <- ifelse(
SIM_data$DESTIN_AGE7_12 == 0,
0.99, SIM_data$DESTIN_AGE7_12)
SIM_data$DESTIN_AGE13_24 <- ifelse(
SIM_data$DESTIN_AGE13_24 == 0,
0.99, SIM_data$DESTIN_AGE13_24)
SIM_data$DESTIN_AGE25_64 <- ifelse(
SIM_data$DESTIN_AGE25_64 == 0,
0.99, SIM_data$DESTIN_AGE25_64)
SIM_data$ORIGIN_AGE7_12 <- ifelse(
SIM_data$ORIGIN_AGE7_12 == 0,
0.99, SIM_data$ORIGIN_AGE7_12)
SIM_data$ORIGIN_AGE13_24 <- ifelse(
SIM_data$ORIGIN_AGE13_24 == 0,
0.99, SIM_data$ORIGIN_AGE13_24)
SIM_data$ORIGIN_AGE25_64 <- ifelse(
SIM_data$ORIGIN_AGE25_64 == 0,
0.99, SIM_data$ORIGIN_AGE25_64)Verify that there are no more 0 values
summary(SIM_data) ORIGIN_SZ DESTIN_SZ TRIPS FlowNoIntra
Length:14274 Length:14274 Min. : 1.0 Min. : 1.0
Class :character Class :character 1st Qu.: 11.0 1st Qu.: 11.0
Mode :character Mode :character Median : 56.0 Median : 56.0
Mean : 664.3 Mean : 664.3
3rd Qu.: 296.0 3rd Qu.: 296.0
Max. :104167.0 Max. :104167.0
offset dist ORIGIN_AGE7_12 ORIGIN_AGE13_24
Min. :1 Min. : 173.8 Min. : 0.99 Min. : 0.99
1st Qu.:1 1st Qu.: 3465.4 1st Qu.: 240.00 1st Qu.: 460.00
Median :1 Median : 6121.0 Median : 710.00 Median : 1400.00
Mean :1 Mean : 6951.8 Mean :1036.73 Mean : 2278.59
3rd Qu.:1 3rd Qu.: 9725.1 3rd Qu.:1500.00 3rd Qu.: 3282.50
Max. :1 Max. :26135.8 Max. :6340.00 Max. :16380.00
ORIGIN_AGE25_64 DESTIN_AGE7_12 DESTIN_AGE13_24 DESTIN_AGE25_64
Min. : 0.99 Min. : 0.99 Min. : 0.99 Min. : 0.99
1st Qu.: 2210.00 1st Qu.: 250.00 1st Qu.: 460.00 1st Qu.: 2210.00
Median : 7030.00 Median : 720.00 Median : 1430.00 Median : 7120.00
Mean :10535.93 Mean :1039.98 Mean : 2305.33 Mean :10647.95
3rd Qu.:15830.00 3rd Qu.:1500.00 3rd Qu.: 3290.00 3rd Qu.:15830.00
Max. :74610.00 Max. :6340.00 Max. :16380.00 Max. :74610.00 Unconstrained Spatial Interaction Model
Calibrate an unconstrained spatial interaction model by using glm() of Base Stats.
Explanatory variables: origin population by different age cohort, destination population by different age cohort (i.e. ORIGIN_AGE25_64) and distance between origin and destination in km (i.e. dist).
Model calibration:
uncSIM <- glm(formula = TRIPS ~
log(ORIGIN_AGE25_64) +
log(DESTIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
uncSIM
Call: glm(formula = TRIPS ~ log(ORIGIN_AGE25_64) + log(DESTIN_AGE25_64) +
log(dist), family = poisson(link = "log"), data = SIM_data,
na.action = na.exclude)
Coefficients:
(Intercept) log(ORIGIN_AGE25_64) log(DESTIN_AGE25_64)
17.00287 0.21001 0.01289
log(dist)
-1.51785
Degrees of Freedom: 14273 Total (i.e. Null); 14270 Residual
Null Deviance: 36120000
Residual Deviance: 19960000 AIC: 20040000R-squared function
Measure how much variation of the trips can be accounted by the model
CalcRSquared <- function(observed,estimated){
r <- cor(observed,estimated)
R2 <- r^2
R2
}Compute the R-squared of the unconstrained SIM
CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values)[1] 0.1694734r2_mcfadden(uncSIM)# R2 for Generalized Linear Regression
R2: 0.446
adj. R2: 0.446Origin constrained SIM
orcSIM <- glm(formula = TRIPS ~
ORIGIN_SZ +
log(DESTIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(orcSIM)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + log(DESTIN_AGE25_64) + log(dist),
family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 19.9309957 0.0054015 3689.887 < 2e-16 ***
ORIGIN_SZAMSZ02 0.6805710 0.0052686 129.175 < 2e-16 ***
ORIGIN_SZAMSZ03 0.3597850 0.0054884 65.554 < 2e-16 ***
ORIGIN_SZAMSZ04 -0.1106566 0.0060027 -18.434 < 2e-16 ***
ORIGIN_SZAMSZ05 -0.3140561 0.0067998 -46.186 < 2e-16 ***
ORIGIN_SZAMSZ06 0.0634425 0.0060258 10.528 < 2e-16 ***
ORIGIN_SZAMSZ07 -1.1301580 0.0110298 -102.464 < 2e-16 ***
ORIGIN_SZAMSZ08 -0.6330394 0.0102949 -61.491 < 2e-16 ***
ORIGIN_SZAMSZ09 0.1064915 0.0063450 16.784 < 2e-16 ***
ORIGIN_SZAMSZ10 0.5061899 0.0053889 93.931 < 2e-16 ***
ORIGIN_SZAMSZ11 -1.3167911 0.0144870 -90.895 < 2e-16 ***
ORIGIN_SZAMSZ12 -1.5103004 0.0127453 -118.499 < 2e-16 ***
ORIGIN_SZBDSZ01 1.3626004 0.0051433 264.929 < 2e-16 ***
ORIGIN_SZBDSZ02 0.9554084 0.0059655 160.156 < 2e-16 ***
ORIGIN_SZBDSZ03 1.1476190 0.0054278 211.433 < 2e-16 ***
ORIGIN_SZBDSZ04 2.0110410 0.0046344 433.940 < 2e-16 ***
ORIGIN_SZBDSZ05 1.0658940 0.0053976 197.477 < 2e-16 ***
ORIGIN_SZBDSZ06 1.2719222 0.0054774 232.213 < 2e-16 ***
ORIGIN_SZBDSZ07 -0.5053039 0.0111553 -45.297 < 2e-16 ***
ORIGIN_SZBDSZ08 -0.3556193 0.0102947 -34.544 < 2e-16 ***
ORIGIN_SZBKSZ01 -0.3606399 0.0075473 -47.784 < 2e-16 ***
ORIGIN_SZBKSZ02 0.1357265 0.0061394 22.107 < 2e-16 ***
ORIGIN_SZBKSZ03 0.4101999 0.0058983 69.545 < 2e-16 ***
ORIGIN_SZBKSZ04 -0.3418645 0.0070764 -48.310 < 2e-16 ***
ORIGIN_SZBKSZ05 -0.2986750 0.0074073 -40.322 < 2e-16 ***
ORIGIN_SZBKSZ06 -0.2637855 0.0068739 -38.375 < 2e-16 ***
ORIGIN_SZBKSZ07 0.5498323 0.0051476 106.813 < 2e-16 ***
ORIGIN_SZBKSZ08 -0.0527393 0.0061457 -8.582 < 2e-16 ***
ORIGIN_SZBKSZ09 -0.1564691 0.0067300 -23.249 < 2e-16 ***
ORIGIN_SZBLSZ01 -1.7551329 0.0176599 -99.385 < 2e-16 ***
ORIGIN_SZBLSZ02 -1.9493637 0.0213859 -91.152 < 2e-16 ***
ORIGIN_SZBLSZ03 -2.9057732 0.0535995 -54.213 < 2e-16 ***
ORIGIN_SZBLSZ04 -1.4672066 0.0254726 -57.599 < 2e-16 ***
ORIGIN_SZBMSZ01 0.1806064 0.0060563 29.821 < 2e-16 ***
ORIGIN_SZBMSZ02 -1.4026549 0.0078244 -179.267 < 2e-16 ***
ORIGIN_SZBMSZ03 -0.5976236 0.0063808 -93.660 < 2e-16 ***
ORIGIN_SZBMSZ04 -0.5456513 0.0059061 -92.388 < 2e-16 ***
ORIGIN_SZBMSZ05 -3.1095195 0.0188118 -165.297 < 2e-16 ***
ORIGIN_SZBMSZ06 -3.0273827 0.0194319 -155.794 < 2e-16 ***
ORIGIN_SZBMSZ07 -0.7378197 0.0066865 -110.345 < 2e-16 ***
ORIGIN_SZBMSZ08 -0.9306150 0.0067188 -138.510 < 2e-16 ***
ORIGIN_SZBMSZ09 -1.4137345 0.0101071 -139.876 < 2e-16 ***
ORIGIN_SZBMSZ10 -1.7054195 0.0101582 -167.886 < 2e-16 ***
ORIGIN_SZBMSZ11 -1.2418380 0.0076792 -161.714 < 2e-16 ***
ORIGIN_SZBMSZ12 -1.3746537 0.0109769 -125.231 < 2e-16 ***
ORIGIN_SZBMSZ13 -0.4339494 0.0069335 -62.587 < 2e-16 ***
ORIGIN_SZBMSZ14 -0.9950458 0.0076302 -130.410 < 2e-16 ***
ORIGIN_SZBMSZ15 -0.6544196 0.0068964 -94.892 < 2e-16 ***
ORIGIN_SZBMSZ16 -1.5193747 0.0105329 -144.250 < 2e-16 ***
ORIGIN_SZBMSZ17 -1.6536771 0.0180672 -91.529 < 2e-16 ***
ORIGIN_SZBPSZ01 0.1484355 0.0064734 22.930 < 2e-16 ***
ORIGIN_SZBPSZ02 -0.3602094 0.0073902 -48.741 < 2e-16 ***
ORIGIN_SZBPSZ03 -0.1567975 0.0072226 -21.709 < 2e-16 ***
ORIGIN_SZBPSZ04 0.4504873 0.0058418 77.115 < 2e-16 ***
ORIGIN_SZBPSZ05 0.5028646 0.0053682 93.675 < 2e-16 ***
ORIGIN_SZBPSZ06 -1.0125668 0.0105638 -95.853 < 2e-16 ***
ORIGIN_SZBPSZ07 -0.3859065 0.0098561 -39.154 < 2e-16 ***
ORIGIN_SZBSSZ01 0.1488497 0.0065504 22.724 < 2e-16 ***
ORIGIN_SZBSSZ02 0.4269498 0.0055893 76.387 < 2e-16 ***
ORIGIN_SZBSSZ03 -0.2437385 0.0062020 -39.300 < 2e-16 ***
ORIGIN_SZBTSZ01 0.1987940 0.0066672 29.817 < 2e-16 ***
ORIGIN_SZBTSZ02 -0.4571546 0.0090784 -50.356 < 2e-16 ***
ORIGIN_SZBTSZ03 -0.2697243 0.0077941 -34.606 < 2e-16 ***
ORIGIN_SZBTSZ04 -1.0997236 0.0115225 -95.441 < 2e-16 ***
ORIGIN_SZBTSZ05 -1.0053122 0.0132594 -75.819 < 2e-16 ***
ORIGIN_SZBTSZ06 -1.0841201 0.0102242 -106.035 < 2e-16 ***
ORIGIN_SZBTSZ07 -2.3134497 0.0158499 -145.960 < 2e-16 ***
ORIGIN_SZBTSZ08 -1.1581618 0.0121161 -95.589 < 2e-16 ***
ORIGIN_SZCBSZ01 -1.0805930 0.0577831 -18.701 < 2e-16 ***
ORIGIN_SZCCSZ01 -0.8145372 0.0152638 -53.364 < 2e-16 ***
ORIGIN_SZCHSZ01 0.0377079 0.0133240 2.830 0.004654 **
ORIGIN_SZCHSZ02 -0.6209553 0.0096388 -64.422 < 2e-16 ***
ORIGIN_SZCHSZ03 1.6790244 0.0069559 241.381 < 2e-16 ***
ORIGIN_SZCKSZ01 0.0839586 0.0059934 14.008 < 2e-16 ***
ORIGIN_SZCKSZ02 0.4379511 0.0062289 70.309 < 2e-16 ***
ORIGIN_SZCKSZ03 0.7956950 0.0051892 153.335 < 2e-16 ***
ORIGIN_SZCKSZ04 1.2740323 0.0053165 239.637 < 2e-16 ***
ORIGIN_SZCKSZ05 0.9326213 0.0061807 150.893 < 2e-16 ***
ORIGIN_SZCKSZ06 0.3976273 0.0085639 46.431 < 2e-16 ***
ORIGIN_SZCLSZ01 -0.7522917 0.0094655 -79.477 < 2e-16 ***
ORIGIN_SZCLSZ02 -1.3937450 0.0153260 -90.940 < 2e-16 ***
ORIGIN_SZCLSZ03 -0.7898683 0.0091016 -86.784 < 2e-16 ***
ORIGIN_SZCLSZ04 0.8451512 0.0051258 164.882 < 2e-16 ***
ORIGIN_SZCLSZ05 -1.6573818 0.0166091 -99.788 < 2e-16 ***
ORIGIN_SZCLSZ06 0.9478181 0.0048182 196.716 < 2e-16 ***
ORIGIN_SZCLSZ07 -0.2499753 0.0064632 -38.677 < 2e-16 ***
ORIGIN_SZCLSZ08 0.1350119 0.0069296 19.483 < 2e-16 ***
ORIGIN_SZCLSZ09 -1.3868782 0.0192743 -71.955 < 2e-16 ***
ORIGIN_SZDTSZ02 -3.7535792 0.0871325 -43.079 < 2e-16 ***
ORIGIN_SZDTSZ03 -3.8462041 0.0840156 -45.780 < 2e-16 ***
ORIGIN_SZDTSZ13 -2.9738127 0.0349241 -85.151 < 2e-16 ***
ORIGIN_SZGLSZ01 -1.5175198 0.0110135 -137.787 < 2e-16 ***
ORIGIN_SZGLSZ02 0.2405712 0.0058742 40.954 < 2e-16 ***
ORIGIN_SZGLSZ03 0.1940241 0.0061989 31.300 < 2e-16 ***
ORIGIN_SZGLSZ04 1.0292572 0.0049028 209.931 < 2e-16 ***
ORIGIN_SZGLSZ05 0.9864552 0.0050898 193.811 < 2e-16 ***
ORIGIN_SZHGSZ01 0.3073609 0.0054307 56.597 < 2e-16 ***
ORIGIN_SZHGSZ02 0.3827293 0.0054555 70.154 < 2e-16 ***
ORIGIN_SZHGSZ03 0.2342580 0.0059240 39.544 < 2e-16 ***
ORIGIN_SZHGSZ04 0.8750090 0.0049639 176.275 < 2e-16 ***
ORIGIN_SZHGSZ05 1.1695280 0.0049468 236.420 < 2e-16 ***
ORIGIN_SZHGSZ06 -0.0462411 0.0063805 -7.247 4.25e-13 ***
ORIGIN_SZHGSZ07 0.4488583 0.0055139 81.404 < 2e-16 ***
ORIGIN_SZHGSZ08 0.2236095 0.0061279 36.490 < 2e-16 ***
ORIGIN_SZHGSZ09 -1.6376674 0.0084442 -193.941 < 2e-16 ***
ORIGIN_SZHGSZ10 -2.9849025 0.0501042 -59.574 < 2e-16 ***
ORIGIN_SZJESZ01 0.3926525 0.0056268 69.783 < 2e-16 ***
ORIGIN_SZJESZ02 0.1230160 0.0056864 21.633 < 2e-16 ***
ORIGIN_SZJESZ03 0.0188276 0.0061020 3.085 0.002032 **
ORIGIN_SZJESZ04 -1.3611618 0.0117184 -116.156 < 2e-16 ***
ORIGIN_SZJESZ05 -2.0643662 0.0157083 -131.419 < 2e-16 ***
ORIGIN_SZJESZ06 0.1556368 0.0055245 28.172 < 2e-16 ***
ORIGIN_SZJESZ07 -1.7664532 0.0133171 -132.646 < 2e-16 ***
ORIGIN_SZJESZ08 -0.9115981 0.0138203 -65.961 < 2e-16 ***
ORIGIN_SZJESZ09 0.6121916 0.0060381 101.388 < 2e-16 ***
ORIGIN_SZJESZ10 -1.1953045 0.0233216 -51.253 < 2e-16 ***
ORIGIN_SZJESZ11 -1.4088748 0.0220921 -63.773 < 2e-16 ***
ORIGIN_SZJWSZ01 0.5759093 0.0077741 74.081 < 2e-16 ***
ORIGIN_SZJWSZ02 0.9769314 0.0053029 184.227 < 2e-16 ***
ORIGIN_SZJWSZ03 1.3242695 0.0049068 269.882 < 2e-16 ***
ORIGIN_SZJWSZ04 0.5621088 0.0057831 97.199 < 2e-16 ***
ORIGIN_SZJWSZ05 -1.5744341 0.0146904 -107.174 < 2e-16 ***
ORIGIN_SZJWSZ06 -0.9113320 0.0126913 -71.807 < 2e-16 ***
ORIGIN_SZJWSZ07 -2.3083419 0.0357843 -64.507 < 2e-16 ***
ORIGIN_SZJWSZ08 2.0114225 0.0047956 419.429 < 2e-16 ***
ORIGIN_SZJWSZ09 1.9086705 0.0045255 421.759 < 2e-16 ***
ORIGIN_SZKLSZ01 0.2743166 0.0056908 48.204 < 2e-16 ***
ORIGIN_SZKLSZ02 -0.6443386 0.0074521 -86.463 < 2e-16 ***
ORIGIN_SZKLSZ03 -0.3990113 0.0067213 -59.366 < 2e-16 ***
ORIGIN_SZKLSZ04 -2.1413876 0.0138405 -154.719 < 2e-16 ***
ORIGIN_SZKLSZ05 -1.0913697 0.0121512 -89.816 < 2e-16 ***
ORIGIN_SZKLSZ06 -5.6240764 0.1857405 -30.279 < 2e-16 ***
ORIGIN_SZKLSZ07 -1.1885897 0.0096830 -122.750 < 2e-16 ***
ORIGIN_SZKLSZ08 -1.7018593 0.0114317 -148.872 < 2e-16 ***
ORIGIN_SZLKSZ01 -1.6659670 0.0446420 -37.318 < 2e-16 ***
ORIGIN_SZMDSZ01 -1.1210505 0.0318834 -35.161 < 2e-16 ***
ORIGIN_SZMDSZ02 -0.5096299 0.0116645 -43.691 < 2e-16 ***
ORIGIN_SZMDSZ03 -1.9187039 0.0198291 -96.762 < 2e-16 ***
ORIGIN_SZMPSZ01 -0.5260512 0.0094201 -55.844 < 2e-16 ***
ORIGIN_SZMPSZ02 -0.2905084 0.0077974 -37.257 < 2e-16 ***
ORIGIN_SZMPSZ03 0.3342293 0.0063715 52.457 < 2e-16 ***
ORIGIN_SZMUSZ02 -3.8337096 0.1105053 -34.693 < 2e-16 ***
ORIGIN_SZNTSZ01 -2.9845040 0.0397028 -75.171 < 2e-16 ***
ORIGIN_SZNTSZ02 -3.1812985 0.0249470 -127.522 < 2e-16 ***
ORIGIN_SZNTSZ03 -0.9742991 0.0085424 -114.054 < 2e-16 ***
ORIGIN_SZNTSZ05 -4.2086932 0.0579737 -72.597 < 2e-16 ***
ORIGIN_SZNTSZ06 -4.5831822 0.0583494 -78.547 < 2e-16 ***
ORIGIN_SZNVSZ01 0.3186962 0.0052944 60.195 < 2e-16 ***
ORIGIN_SZNVSZ02 -0.5321136 0.0073747 -72.154 < 2e-16 ***
ORIGIN_SZNVSZ03 -0.9911852 0.0090560 -109.451 < 2e-16 ***
ORIGIN_SZNVSZ04 -0.8329721 0.0099590 -83.640 < 2e-16 ***
ORIGIN_SZNVSZ05 -2.1460777 0.0182401 -117.657 < 2e-16 ***
ORIGIN_SZPGSZ01 -0.5604078 0.0151515 -36.987 < 2e-16 ***
ORIGIN_SZPGSZ02 -0.4025139 0.0085135 -47.279 < 2e-16 ***
ORIGIN_SZPGSZ03 0.6975483 0.0055534 125.608 < 2e-16 ***
ORIGIN_SZPGSZ04 1.2175486 0.0051080 238.363 < 2e-16 ***
ORIGIN_SZPGSZ05 0.3895354 0.0069851 55.767 < 2e-16 ***
ORIGIN_SZPLSZ01 -0.5572701 0.0134473 -41.441 < 2e-16 ***
ORIGIN_SZPLSZ02 -0.9854214 0.0172337 -57.180 < 2e-16 ***
ORIGIN_SZPLSZ03 -1.6991954 0.0472629 -35.952 < 2e-16 ***
ORIGIN_SZPLSZ04 -2.2000217 0.0373580 -58.890 < 2e-16 ***
ORIGIN_SZPLSZ05 -1.7086663 0.0260920 -65.486 < 2e-16 ***
ORIGIN_SZPNSZ01 1.5292867 0.0055102 277.535 < 2e-16 ***
ORIGIN_SZPNSZ02 0.7457519 0.0127815 58.346 < 2e-16 ***
ORIGIN_SZPNSZ03 -1.3659046 0.0216180 -63.184 < 2e-16 ***
ORIGIN_SZPNSZ04 -2.0025379 0.0360655 -55.525 < 2e-16 ***
ORIGIN_SZPNSZ05 -0.9157959 0.0320955 -28.533 < 2e-16 ***
ORIGIN_SZPRSZ01 0.0522611 0.0139142 3.756 0.000173 ***
ORIGIN_SZPRSZ02 1.3063371 0.0053809 242.774 < 2e-16 ***
ORIGIN_SZPRSZ03 0.9963670 0.0054293 183.516 < 2e-16 ***
ORIGIN_SZPRSZ04 -0.0300950 0.0088010 -3.419 0.000627 ***
ORIGIN_SZPRSZ05 1.6840313 0.0050839 331.245 < 2e-16 ***
ORIGIN_SZPRSZ06 -0.8277202 0.0131296 -63.042 < 2e-16 ***
ORIGIN_SZPRSZ07 -2.1698449 0.0177362 -122.340 < 2e-16 ***
ORIGIN_SZPRSZ08 0.4559353 0.0072609 62.793 < 2e-16 ***
ORIGIN_SZQTSZ01 -0.3517047 0.0078770 -44.650 < 2e-16 ***
ORIGIN_SZQTSZ02 -0.8199353 0.0071544 -114.605 < 2e-16 ***
ORIGIN_SZQTSZ03 -0.2457614 0.0065555 -37.490 < 2e-16 ***
ORIGIN_SZQTSZ04 -1.2216614 0.0084050 -145.349 < 2e-16 ***
ORIGIN_SZQTSZ05 -0.7219952 0.0072360 -99.778 < 2e-16 ***
ORIGIN_SZQTSZ06 -0.6729363 0.0076658 -87.784 < 2e-16 ***
ORIGIN_SZQTSZ07 -1.4497690 0.0109365 -132.563 < 2e-16 ***
ORIGIN_SZQTSZ08 -0.2770151 0.0070193 -39.465 < 2e-16 ***
ORIGIN_SZQTSZ09 -0.6157554 0.0078739 -78.202 < 2e-16 ***
ORIGIN_SZQTSZ10 -0.3091547 0.0075471 -40.963 < 2e-16 ***
ORIGIN_SZQTSZ11 -1.9698881 0.0151247 -130.243 < 2e-16 ***
ORIGIN_SZQTSZ12 -2.6449643 0.0205857 -128.485 < 2e-16 ***
ORIGIN_SZQTSZ13 -0.3754107 0.0088433 -42.452 < 2e-16 ***
ORIGIN_SZQTSZ14 -1.6537473 0.0134378 -123.067 < 2e-16 ***
ORIGIN_SZQTSZ15 -0.3435351 0.0131956 -26.034 < 2e-16 ***
ORIGIN_SZRCSZ01 -1.7104390 0.0141179 -121.154 < 2e-16 ***
ORIGIN_SZRCSZ06 -1.1250727 0.0094909 -118.542 < 2e-16 ***
ORIGIN_SZRVSZ01 -3.0220116 0.0339694 -88.963 < 2e-16 ***
ORIGIN_SZRVSZ02 -3.6040075 0.0297641 -121.086 < 2e-16 ***
ORIGIN_SZRVSZ03 -3.2345594 0.0259149 -124.814 < 2e-16 ***
ORIGIN_SZRVSZ04 -3.6900313 0.0575908 -64.073 < 2e-16 ***
ORIGIN_SZRVSZ05 -2.9527570 0.0178582 -165.344 < 2e-16 ***
ORIGIN_SZSBSZ01 0.0238445 0.0078563 3.035 0.002405 **
ORIGIN_SZSBSZ02 -0.5780602 0.0093054 -62.121 < 2e-16 ***
ORIGIN_SZSBSZ03 0.8961719 0.0054586 164.175 < 2e-16 ***
ORIGIN_SZSBSZ04 0.8421798 0.0061888 136.080 < 2e-16 ***
ORIGIN_SZSBSZ05 -0.1682984 0.0078342 -21.482 < 2e-16 ***
ORIGIN_SZSBSZ06 -1.1482701 0.0196421 -58.460 < 2e-16 ***
ORIGIN_SZSBSZ07 -0.8830317 0.0160709 -54.946 < 2e-16 ***
ORIGIN_SZSBSZ08 -1.1039492 0.0174602 -63.226 < 2e-16 ***
ORIGIN_SZSBSZ09 -0.5946691 0.0101961 -58.323 < 2e-16 ***
ORIGIN_SZSESZ02 1.1144933 0.0050948 218.749 < 2e-16 ***
ORIGIN_SZSESZ03 1.1058963 0.0049026 225.574 < 2e-16 ***
ORIGIN_SZSESZ04 0.7427975 0.0056948 130.433 < 2e-16 ***
ORIGIN_SZSESZ05 -0.2812684 0.0069596 -40.414 < 2e-16 ***
ORIGIN_SZSESZ06 0.8168315 0.0055800 146.387 < 2e-16 ***
ORIGIN_SZSESZ07 -2.2842043 0.0231232 -98.784 < 2e-16 ***
ORIGIN_SZSGSZ01 -0.7313790 0.0098957 -73.909 < 2e-16 ***
ORIGIN_SZSGSZ02 -1.1185406 0.0110919 -100.843 < 2e-16 ***
ORIGIN_SZSGSZ03 0.1752618 0.0060508 28.965 < 2e-16 ***
ORIGIN_SZSGSZ04 0.3764395 0.0056165 67.023 < 2e-16 ***
ORIGIN_SZSGSZ05 -1.7203916 0.0118945 -144.637 < 2e-16 ***
ORIGIN_SZSGSZ06 0.4630857 0.0052886 87.563 < 2e-16 ***
ORIGIN_SZSGSZ07 -0.7051233 0.0073133 -96.417 < 2e-16 ***
ORIGIN_SZSKSZ01 0.2053928 0.0100710 20.395 < 2e-16 ***
ORIGIN_SZSKSZ02 1.2630428 0.0063490 198.935 < 2e-16 ***
ORIGIN_SZSKSZ03 -0.3035297 0.0096788 -31.360 < 2e-16 ***
ORIGIN_SZSKSZ04 -1.7952886 0.0359225 -49.977 < 2e-16 ***
ORIGIN_SZSKSZ05 -0.3836861 0.0176686 -21.716 < 2e-16 ***
ORIGIN_SZSLSZ01 -2.5916326 0.0348001 -74.472 < 2e-16 ***
ORIGIN_SZSLSZ04 -0.2251549 0.0088517 -25.436 < 2e-16 ***
ORIGIN_SZSRSZ01 -2.9590365 0.0173638 -170.414 < 2e-16 ***
ORIGIN_SZTHSZ01 -1.9639893 0.0570321 -34.437 < 2e-16 ***
ORIGIN_SZTHSZ03 -1.7281304 0.0272797 -63.349 < 2e-16 ***
ORIGIN_SZTHSZ04 -2.7837906 0.0343179 -81.118 < 2e-16 ***
ORIGIN_SZTHSZ06 -2.1800693 0.0205491 -106.091 < 2e-16 ***
ORIGIN_SZTMSZ01 0.8228136 0.0066824 123.131 < 2e-16 ***
ORIGIN_SZTMSZ02 2.3174781 0.0044978 515.243 < 2e-16 ***
ORIGIN_SZTMSZ03 1.7061757 0.0048615 350.957 < 2e-16 ***
ORIGIN_SZTMSZ04 1.2407899 0.0058389 212.504 < 2e-16 ***
ORIGIN_SZTMSZ05 -0.1000526 0.0124079 -8.064 7.41e-16 ***
ORIGIN_SZTNSZ01 -2.0347519 0.0139596 -145.760 < 2e-16 ***
ORIGIN_SZTNSZ02 -1.8682671 0.0107901 -173.146 < 2e-16 ***
ORIGIN_SZTNSZ03 -2.1737183 0.0146759 -148.115 < 2e-16 ***
ORIGIN_SZTNSZ04 -0.5006452 0.0081501 -61.428 < 2e-16 ***
ORIGIN_SZTPSZ01 -0.6722487 0.0075606 -88.914 < 2e-16 ***
ORIGIN_SZTPSZ02 0.4552916 0.0050191 90.711 < 2e-16 ***
ORIGIN_SZTPSZ03 -0.7865781 0.0072250 -108.869 < 2e-16 ***
ORIGIN_SZTPSZ04 -0.7049044 0.0066456 -106.071 < 2e-16 ***
ORIGIN_SZTPSZ05 -0.5574925 0.0070366 -79.227 < 2e-16 ***
ORIGIN_SZTPSZ06 -0.4247282 0.0068709 -61.815 < 2e-16 ***
ORIGIN_SZTPSZ07 -0.2846984 0.0071030 -40.081 < 2e-16 ***
ORIGIN_SZTPSZ08 -1.0898051 0.0110046 -99.031 < 2e-16 ***
ORIGIN_SZTPSZ09 -0.8092746 0.0079160 -102.232 < 2e-16 ***
ORIGIN_SZTPSZ10 -0.9332072 0.0086809 -107.502 < 2e-16 ***
ORIGIN_SZTPSZ11 -0.0421981 0.0064343 -6.558 5.44e-11 ***
ORIGIN_SZTPSZ12 -0.6330081 0.0078324 -80.819 < 2e-16 ***
ORIGIN_SZTSSZ01 -1.7650409 0.0517357 -34.116 < 2e-16 ***
ORIGIN_SZTSSZ02 1.1707267 0.0094178 124.310 < 2e-16 ***
ORIGIN_SZTSSZ03 0.6581679 0.0095894 68.635 < 2e-16 ***
ORIGIN_SZTSSZ04 0.8736493 0.0104965 83.233 < 2e-16 ***
ORIGIN_SZTSSZ05 0.0957248 0.0178709 5.356 8.49e-08 ***
ORIGIN_SZTSSZ06 1.7581609 0.0206810 85.013 < 2e-16 ***
ORIGIN_SZWCSZ01 0.8097950 0.0105622 76.669 < 2e-16 ***
ORIGIN_SZWCSZ02 -1.9966163 0.0345747 -57.748 < 2e-16 ***
ORIGIN_SZWCSZ03 -5.0687420 0.1474971 -34.365 < 2e-16 ***
ORIGIN_SZWDSZ01 1.4926003 0.0047216 316.124 < 2e-16 ***
ORIGIN_SZWDSZ02 0.9916597 0.0055755 177.859 < 2e-16 ***
ORIGIN_SZWDSZ03 1.5918065 0.0052180 305.062 < 2e-16 ***
ORIGIN_SZWDSZ04 1.3717152 0.0060516 226.669 < 2e-16 ***
ORIGIN_SZWDSZ05 0.6700111 0.0062287 107.569 < 2e-16 ***
ORIGIN_SZWDSZ06 0.8115996 0.0060947 133.165 < 2e-16 ***
ORIGIN_SZWDSZ07 -0.6488914 0.0093567 -69.351 < 2e-16 ***
ORIGIN_SZWDSZ08 -0.3610234 0.0096440 -37.435 < 2e-16 ***
ORIGIN_SZWDSZ09 1.4445461 0.0052279 276.317 < 2e-16 ***
ORIGIN_SZYSSZ01 -0.2039272 0.0069548 -29.322 < 2e-16 ***
ORIGIN_SZYSSZ02 0.8707707 0.0058957 147.697 < 2e-16 ***
ORIGIN_SZYSSZ03 1.8348842 0.0050377 364.231 < 2e-16 ***
ORIGIN_SZYSSZ04 1.0780641 0.0052960 203.564 < 2e-16 ***
ORIGIN_SZYSSZ05 0.3222765 0.0069700 46.237 < 2e-16 ***
ORIGIN_SZYSSZ06 -0.4424689 0.0124866 -35.435 < 2e-16 ***
ORIGIN_SZYSSZ07 -1.0267883 0.0155821 -65.895 < 2e-16 ***
ORIGIN_SZYSSZ08 0.1833117 0.0070935 25.842 < 2e-16 ***
ORIGIN_SZYSSZ09 1.0766070 0.0050451 213.396 < 2e-16 ***
log(DESTIN_AGE25_64) 0.0295428 0.0001051 280.998 < 2e-16 ***
log(dist) -1.7024691 0.0004625 -3681.042 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 36117615 on 14273 degrees of freedom
Residual deviance: 12983718 on 13993 degrees of freedom
AIC: 13068835
Number of Fisher Scoring iterations: 6How the constraints hold for destinations
CalcRSquared(orcSIM$data$TRIPS, orcSIM$fitted.values)[1] 0.4029115Destination constrained
decSIM <- glm(formula = TRIPS ~
DESTIN_SZ +
log(ORIGIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(decSIM)
Call:
glm(formula = TRIPS ~ DESTIN_SZ + log(ORIGIN_AGE25_64) + log(dist),
family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 19.4822997 0.0050784 3836.298 < 2e-16 ***
DESTIN_SZAMSZ02 0.1263056 0.0049743 25.392 < 2e-16 ***
DESTIN_SZAMSZ03 0.0421788 0.0049859 8.460 < 2e-16 ***
DESTIN_SZAMSZ04 -1.1668479 0.0074254 -157.143 < 2e-16 ***
DESTIN_SZAMSZ05 -1.2586639 0.0075854 -165.931 < 2e-16 ***
DESTIN_SZAMSZ06 -1.1414791 0.0073474 -155.359 < 2e-16 ***
DESTIN_SZAMSZ07 -1.5565804 0.0109476 -142.185 < 2e-16 ***
DESTIN_SZAMSZ08 -0.3990754 0.0074159 -53.813 < 2e-16 ***
DESTIN_SZAMSZ09 -1.0109118 0.0076802 -131.626 < 2e-16 ***
DESTIN_SZAMSZ10 0.0159285 0.0051765 3.077 0.00209 **
DESTIN_SZAMSZ11 -0.3653273 0.0094866 -38.510 < 2e-16 ***
DESTIN_SZAMSZ12 0.5297606 0.0053243 99.500 < 2e-16 ***
DESTIN_SZBDSZ01 1.0394822 0.0044226 235.037 < 2e-16 ***
DESTIN_SZBDSZ02 0.1956964 0.0059564 32.855 < 2e-16 ***
DESTIN_SZBDSZ03 0.3209267 0.0053718 59.742 < 2e-16 ***
DESTIN_SZBDSZ04 1.2429874 0.0043104 288.370 < 2e-16 ***
DESTIN_SZBDSZ05 0.8535842 0.0046360 184.122 < 2e-16 ***
DESTIN_SZBDSZ06 0.5181443 0.0053736 96.423 < 2e-16 ***
DESTIN_SZBDSZ07 -0.5849371 0.0110468 -52.951 < 2e-16 ***
DESTIN_SZBDSZ08 -1.2871050 0.0128623 -100.068 < 2e-16 ***
DESTIN_SZBKSZ01 -1.0633560 0.0077771 -136.730 < 2e-16 ***
DESTIN_SZBKSZ02 -0.4065316 0.0066712 -60.938 < 2e-16 ***
DESTIN_SZBKSZ03 -0.6815674 0.0066509 -102.477 < 2e-16 ***
DESTIN_SZBKSZ04 -0.4185485 0.0058306 -71.785 < 2e-16 ***
DESTIN_SZBKSZ05 -0.8887654 0.0073867 -120.319 < 2e-16 ***
DESTIN_SZBKSZ06 -0.9436078 0.0068625 -137.501 < 2e-16 ***
DESTIN_SZBKSZ07 -0.0067325 0.0048408 -1.391 0.16430
DESTIN_SZBKSZ08 -1.2680903 0.0079177 -160.160 < 2e-16 ***
DESTIN_SZBKSZ09 -0.0350151 0.0054287 -6.450 1.12e-10 ***
DESTIN_SZBLSZ01 -0.3045203 0.0081978 -37.146 < 2e-16 ***
DESTIN_SZBLSZ02 0.6432424 0.0074449 86.400 < 2e-16 ***
DESTIN_SZBLSZ03 1.9595113 0.0084705 231.333 < 2e-16 ***
DESTIN_SZBLSZ04 0.0149756 0.0172081 0.870 0.38415
DESTIN_SZBMSZ01 -0.0378127 0.0055294 -6.838 8.00e-12 ***
DESTIN_SZBMSZ02 -0.8458055 0.0054043 -156.505 < 2e-16 ***
DESTIN_SZBMSZ03 -1.1334399 0.0063720 -177.878 < 2e-16 ***
DESTIN_SZBMSZ04 -1.1164759 0.0057743 -193.353 < 2e-16 ***
DESTIN_SZBMSZ05 -1.1078742 0.0078703 -140.766 < 2e-16 ***
DESTIN_SZBMSZ06 -2.2787234 0.0155126 -146.895 < 2e-16 ***
DESTIN_SZBMSZ07 -0.2739089 0.0051924 -52.752 < 2e-16 ***
DESTIN_SZBMSZ08 -1.6825978 0.0071842 -234.209 < 2e-16 ***
DESTIN_SZBMSZ09 -3.0047801 0.0159980 -187.823 < 2e-16 ***
DESTIN_SZBMSZ10 -2.2232689 0.0096907 -229.423 < 2e-16 ***
DESTIN_SZBMSZ11 -1.9657136 0.0086445 -227.394 < 2e-16 ***
DESTIN_SZBMSZ12 -1.5359286 0.0089658 -171.310 < 2e-16 ***
DESTIN_SZBMSZ13 -0.5657561 0.0059960 -94.355 < 2e-16 ***
DESTIN_SZBMSZ14 -1.6904858 0.0084858 -199.214 < 2e-16 ***
DESTIN_SZBMSZ15 -1.5268383 0.0079959 -190.953 < 2e-16 ***
DESTIN_SZBMSZ16 -2.2045600 0.0130872 -168.452 < 2e-16 ***
DESTIN_SZBMSZ17 -2.2992381 0.0184895 -124.353 < 2e-16 ***
DESTIN_SZBPSZ01 -0.8549497 0.0065168 -131.191 < 2e-16 ***
DESTIN_SZBPSZ02 -1.7470549 0.0095751 -182.457 < 2e-16 ***
DESTIN_SZBPSZ03 -1.4015145 0.0090888 -154.203 < 2e-16 ***
DESTIN_SZBPSZ04 -0.5250632 0.0066496 -78.962 < 2e-16 ***
DESTIN_SZBPSZ05 0.3413171 0.0046404 73.553 < 2e-16 ***
DESTIN_SZBPSZ06 -0.8569188 0.0090795 -94.380 < 2e-16 ***
DESTIN_SZBPSZ07 -0.0751284 0.0089704 -8.375 < 2e-16 ***
DESTIN_SZBSSZ01 0.1015228 0.0055735 18.215 < 2e-16 ***
DESTIN_SZBSSZ02 -0.7066412 0.0063845 -110.682 < 2e-16 ***
DESTIN_SZBSSZ03 0.1622730 0.0046689 34.756 < 2e-16 ***
DESTIN_SZBTSZ01 0.5470615 0.0047984 114.009 < 2e-16 ***
DESTIN_SZBTSZ02 -0.1393371 0.0078266 -17.803 < 2e-16 ***
DESTIN_SZBTSZ03 0.1474771 0.0059428 24.816 < 2e-16 ***
DESTIN_SZBTSZ04 -1.2857827 0.0122000 -105.392 < 2e-16 ***
DESTIN_SZBTSZ05 -0.2629188 0.0081769 -32.154 < 2e-16 ***
DESTIN_SZBTSZ06 -0.8319920 0.0081401 -102.209 < 2e-16 ***
DESTIN_SZBTSZ07 -1.8829448 0.0121227 -155.324 < 2e-16 ***
DESTIN_SZBTSZ08 -1.5732123 0.0116752 -134.748 < 2e-16 ***
DESTIN_SZCBSZ01 -3.5334327 0.3333510 -10.600 < 2e-16 ***
DESTIN_SZCCSZ01 -0.2129306 0.0093782 -22.705 < 2e-16 ***
DESTIN_SZCHSZ01 -0.1494972 0.0113078 -13.221 < 2e-16 ***
DESTIN_SZCHSZ02 0.0041774 0.0063195 0.661 0.50860
DESTIN_SZCHSZ03 2.5565450 0.0046495 549.857 < 2e-16 ***
DESTIN_SZCKSZ01 0.0489719 0.0053801 9.102 < 2e-16 ***
DESTIN_SZCKSZ02 -0.3548993 0.0060671 -58.496 < 2e-16 ***
DESTIN_SZCKSZ03 0.5386351 0.0044913 119.928 < 2e-16 ***
DESTIN_SZCKSZ04 -0.4425512 0.0073837 -59.936 < 2e-16 ***
DESTIN_SZCKSZ05 -0.4092591 0.0077267 -52.967 < 2e-16 ***
DESTIN_SZCKSZ06 0.2207041 0.0074252 29.724 < 2e-16 ***
DESTIN_SZCLSZ01 0.2851460 0.0052362 54.457 < 2e-16 ***
DESTIN_SZCLSZ02 -1.9270528 0.0147688 -130.482 < 2e-16 ***
DESTIN_SZCLSZ03 -0.6266521 0.0086780 -72.212 < 2e-16 ***
DESTIN_SZCLSZ04 -0.1335581 0.0054216 -24.634 < 2e-16 ***
DESTIN_SZCLSZ05 -0.8912963 0.0096015 -92.829 < 2e-16 ***
DESTIN_SZCLSZ06 0.1781234 0.0048150 36.993 < 2e-16 ***
DESTIN_SZCLSZ07 -0.5609619 0.0062277 -90.075 < 2e-16 ***
DESTIN_SZCLSZ08 -0.3875308 0.0068390 -56.665 < 2e-16 ***
DESTIN_SZCLSZ09 0.2539453 0.0072623 34.968 < 2e-16 ***
DESTIN_SZDTSZ02 -2.5036295 0.0373421 -67.046 < 2e-16 ***
DESTIN_SZDTSZ03 -0.8956407 0.0149971 -59.721 < 2e-16 ***
DESTIN_SZDTSZ13 -1.6562176 0.0175441 -94.403 < 2e-16 ***
DESTIN_SZGLSZ01 -0.2716152 0.0056553 -48.029 < 2e-16 ***
DESTIN_SZGLSZ02 -0.1735665 0.0055548 -31.246 < 2e-16 ***
DESTIN_SZGLSZ03 0.7029507 0.0044934 156.441 < 2e-16 ***
DESTIN_SZGLSZ04 0.5788027 0.0045449 127.351 < 2e-16 ***
DESTIN_SZGLSZ05 0.6865291 0.0045131 152.118 < 2e-16 ***
DESTIN_SZHGSZ01 0.3275950 0.0043866 74.681 < 2e-16 ***
DESTIN_SZHGSZ02 -0.6326974 0.0063517 -99.610 < 2e-16 ***
DESTIN_SZHGSZ03 -1.0597982 0.0073914 -143.382 < 2e-16 ***
DESTIN_SZHGSZ04 -0.2267013 0.0052178 -43.448 < 2e-16 ***
DESTIN_SZHGSZ05 -0.3063050 0.0055452 -55.238 < 2e-16 ***
DESTIN_SZHGSZ06 -0.7483961 0.0065544 -114.182 < 2e-16 ***
DESTIN_SZHGSZ07 0.1096958 0.0051309 21.379 < 2e-16 ***
DESTIN_SZHGSZ08 -0.1374201 0.0056692 -24.240 < 2e-16 ***
DESTIN_SZHGSZ09 0.0775400 0.0060230 12.874 < 2e-16 ***
DESTIN_SZHGSZ10 -3.3017475 0.0289292 -114.132 < 2e-16 ***
DESTIN_SZJESZ01 -0.0489065 0.0057246 -8.543 < 2e-16 ***
DESTIN_SZJESZ02 -0.5101614 0.0060074 -84.921 < 2e-16 ***
DESTIN_SZJESZ03 -0.5328921 0.0064129 -83.097 < 2e-16 ***
DESTIN_SZJESZ04 -0.7348953 0.0082249 -89.351 < 2e-16 ***
DESTIN_SZJESZ05 -1.0864570 0.0111740 -97.231 < 2e-16 ***
DESTIN_SZJESZ06 0.2407920 0.0046801 51.451 < 2e-16 ***
DESTIN_SZJESZ07 -1.1523093 0.0090103 -127.888 < 2e-16 ***
DESTIN_SZJESZ08 -0.4627356 0.0094529 -48.952 < 2e-16 ***
DESTIN_SZJESZ09 0.0528616 0.0068126 7.759 8.53e-15 ***
DESTIN_SZJESZ10 1.0240660 0.0084045 121.848 < 2e-16 ***
DESTIN_SZJESZ11 0.7875517 0.0076251 103.284 < 2e-16 ***
DESTIN_SZJWSZ01 -0.1533418 0.0076198 -20.124 < 2e-16 ***
DESTIN_SZJWSZ02 -0.0011019 0.0059389 -0.186 0.85280
DESTIN_SZJWSZ03 0.9063789 0.0046747 193.892 < 2e-16 ***
DESTIN_SZJWSZ04 0.7019286 0.0049743 141.112 < 2e-16 ***
DESTIN_SZJWSZ05 -0.5197057 0.0072971 -71.220 < 2e-16 ***
DESTIN_SZJWSZ06 0.3350986 0.0061171 54.780 < 2e-16 ***
DESTIN_SZJWSZ07 -0.5961960 0.0328336 -18.158 < 2e-16 ***
DESTIN_SZJWSZ08 0.8054662 0.0056006 143.819 < 2e-16 ***
DESTIN_SZJWSZ09 1.5860146 0.0040282 393.723 < 2e-16 ***
DESTIN_SZKLSZ01 -0.6500838 0.0063560 -102.279 < 2e-16 ***
DESTIN_SZKLSZ02 -0.7039434 0.0064465 -109.197 < 2e-16 ***
DESTIN_SZKLSZ03 -1.1972384 0.0075577 -158.413 < 2e-16 ***
DESTIN_SZKLSZ04 -1.7172228 0.0097573 -175.993 < 2e-16 ***
DESTIN_SZKLSZ05 -0.6042386 0.0093730 -64.466 < 2e-16 ***
DESTIN_SZKLSZ06 -3.0201496 0.0389503 -77.539 < 2e-16 ***
DESTIN_SZKLSZ07 -1.1522413 0.0076607 -150.409 < 2e-16 ***
DESTIN_SZKLSZ08 -0.6977825 0.0057610 -121.122 < 2e-16 ***
DESTIN_SZLKSZ01 -0.6895952 0.0268661 -25.668 < 2e-16 ***
DESTIN_SZMDSZ01 -0.7155951 0.0228203 -31.358 < 2e-16 ***
DESTIN_SZMDSZ02 -0.8153643 0.0123003 -66.288 < 2e-16 ***
DESTIN_SZMDSZ03 -2.7745226 0.0301326 -92.077 < 2e-16 ***
DESTIN_SZMPSZ01 -0.5492095 0.0087198 -62.984 < 2e-16 ***
DESTIN_SZMPSZ02 -0.6104744 0.0069346 -88.033 < 2e-16 ***
DESTIN_SZMPSZ03 0.2775047 0.0054964 50.489 < 2e-16 ***
DESTIN_SZMUSZ02 -2.6322870 0.0214943 -122.464 < 2e-16 ***
DESTIN_SZNTSZ01 -4.0762008 0.0531046 -76.758 < 2e-16 ***
DESTIN_SZNTSZ02 -1.9765545 0.0125659 -157.296 < 2e-16 ***
DESTIN_SZNTSZ03 -1.4563069 0.0085433 -170.462 < 2e-16 ***
DESTIN_SZNTSZ05 -2.0125598 0.0270737 -74.336 < 2e-16 ***
DESTIN_SZNTSZ06 -3.0145357 0.0504986 -59.695 < 2e-16 ***
DESTIN_SZNVSZ01 -0.4693625 0.0053866 -87.135 < 2e-16 ***
DESTIN_SZNVSZ02 -0.4525631 0.0060428 -74.894 < 2e-16 ***
DESTIN_SZNVSZ03 -0.4821492 0.0064725 -74.492 < 2e-16 ***
DESTIN_SZNVSZ04 -1.8929756 0.0128397 -147.432 < 2e-16 ***
DESTIN_SZNVSZ05 -1.4501752 0.0099737 -145.400 < 2e-16 ***
DESTIN_SZPGSZ01 -1.2305867 0.0174321 -70.593 < 2e-16 ***
DESTIN_SZPGSZ02 -0.8232919 0.0080153 -102.715 < 2e-16 ***
DESTIN_SZPGSZ03 0.2138480 0.0050850 42.054 < 2e-16 ***
DESTIN_SZPGSZ04 0.1045757 0.0053579 19.518 < 2e-16 ***
DESTIN_SZPGSZ05 -0.7542450 0.0088883 -84.858 < 2e-16 ***
DESTIN_SZPLSZ01 -0.0098642 0.0080428 -1.226 0.22003
DESTIN_SZPLSZ02 -1.2630412 0.0152594 -82.771 < 2e-16 ***
DESTIN_SZPLSZ03 -0.1554479 0.0108611 -14.312 < 2e-16 ***
DESTIN_SZPLSZ04 -1.5505819 0.0114768 -135.105 < 2e-16 ***
DESTIN_SZPLSZ05 -0.2417805 0.0130391 -18.543 < 2e-16 ***
DESTIN_SZPNSZ01 0.7926715 0.0073628 107.659 < 2e-16 ***
DESTIN_SZPNSZ02 2.1914920 0.0073537 298.013 < 2e-16 ***
DESTIN_SZPNSZ03 1.0246845 0.0086874 117.951 < 2e-16 ***
DESTIN_SZPNSZ04 2.5522612 0.0091789 278.057 < 2e-16 ***
DESTIN_SZPNSZ05 1.7995301 0.0138562 129.872 < 2e-16 ***
DESTIN_SZPRSZ01 -0.6576686 0.0096037 -68.481 < 2e-16 ***
DESTIN_SZPRSZ02 0.3113532 0.0059851 52.021 < 2e-16 ***
DESTIN_SZPRSZ03 0.9255296 0.0044779 206.687 < 2e-16 ***
DESTIN_SZPRSZ04 -0.0028578 0.0093218 -0.307 0.75917
DESTIN_SZPRSZ05 0.2457863 0.0058261 42.187 < 2e-16 ***
DESTIN_SZPRSZ06 0.3692137 0.0064542 57.205 < 2e-16 ***
DESTIN_SZPRSZ07 -1.6733306 0.0138440 -120.871 < 2e-16 ***
DESTIN_SZPRSZ08 -0.2221048 0.0074846 -29.675 < 2e-16 ***
DESTIN_SZQTSZ01 -1.0185488 0.0093179 -109.311 < 2e-16 ***
DESTIN_SZQTSZ02 -1.2802688 0.0081670 -156.761 < 2e-16 ***
DESTIN_SZQTSZ03 -1.3322708 0.0079106 -168.415 < 2e-16 ***
DESTIN_SZQTSZ04 -1.1803631 0.0077366 -152.568 < 2e-16 ***
DESTIN_SZQTSZ05 -1.2215818 0.0072829 -167.734 < 2e-16 ***
DESTIN_SZQTSZ06 -1.3213145 0.0074858 -176.509 < 2e-16 ***
DESTIN_SZQTSZ07 -1.6426306 0.0123347 -133.171 < 2e-16 ***
DESTIN_SZQTSZ08 -0.2224169 0.0058405 -38.082 < 2e-16 ***
DESTIN_SZQTSZ09 -0.8142678 0.0069796 -116.665 < 2e-16 ***
DESTIN_SZQTSZ10 -0.1090496 0.0062573 -17.428 < 2e-16 ***
DESTIN_SZQTSZ11 -0.0108951 0.0061145 -1.782 0.07477 .
DESTIN_SZQTSZ12 -0.8582515 0.0090243 -95.105 < 2e-16 ***
DESTIN_SZQTSZ13 0.1834409 0.0065231 28.122 < 2e-16 ***
DESTIN_SZQTSZ14 0.1994454 0.0073615 27.093 < 2e-16 ***
DESTIN_SZQTSZ15 0.6740197 0.0088699 75.990 < 2e-16 ***
DESTIN_SZRCSZ01 -0.7746427 0.0079375 -97.593 < 2e-16 ***
DESTIN_SZRCSZ06 -1.4394098 0.0209931 -68.566 < 2e-16 ***
DESTIN_SZRVSZ01 -2.6060495 0.0175759 -148.274 < 2e-16 ***
DESTIN_SZRVSZ02 -2.5823769 0.0354706 -72.803 < 2e-16 ***
DESTIN_SZRVSZ03 -2.5890601 0.0152644 -169.614 < 2e-16 ***
DESTIN_SZRVSZ04 -2.2277482 0.0165661 -134.477 < 2e-16 ***
DESTIN_SZRVSZ05 -3.8610445 0.0298251 -129.456 < 2e-16 ***
DESTIN_SZSBSZ01 -1.2035529 0.0103954 -115.777 < 2e-16 ***
DESTIN_SZSBSZ02 -1.0267199 0.0085239 -120.452 < 2e-16 ***
DESTIN_SZSBSZ03 0.5977382 0.0050336 118.750 < 2e-16 ***
DESTIN_SZSBSZ04 0.5362769 0.0060573 88.534 < 2e-16 ***
DESTIN_SZSBSZ05 -1.0440525 0.0089622 -116.495 < 2e-16 ***
DESTIN_SZSBSZ06 -1.3939595 0.0246679 -56.509 < 2e-16 ***
DESTIN_SZSBSZ07 0.1029116 0.0235414 4.372 1.23e-05 ***
DESTIN_SZSBSZ08 1.3564902 0.0060529 224.105 < 2e-16 ***
DESTIN_SZSBSZ09 0.4573712 0.0056585 80.829 < 2e-16 ***
DESTIN_SZSESZ02 -0.1553609 0.0056716 -27.393 < 2e-16 ***
DESTIN_SZSESZ03 0.5412776 0.0043801 123.576 < 2e-16 ***
DESTIN_SZSESZ04 -0.6382091 0.0065411 -97.568 < 2e-16 ***
DESTIN_SZSESZ05 -0.3332093 0.0055002 -60.581 < 2e-16 ***
DESTIN_SZSESZ06 -0.3085951 0.0072340 -42.659 < 2e-16 ***
DESTIN_SZSESZ07 -2.6237684 0.0245753 -106.764 < 2e-16 ***
DESTIN_SZSGSZ01 -0.1062372 0.0066634 -15.943 < 2e-16 ***
DESTIN_SZSGSZ02 -0.0475568 0.0058908 -8.073 6.85e-16 ***
DESTIN_SZSGSZ03 -0.2118402 0.0055056 -38.477 < 2e-16 ***
DESTIN_SZSGSZ04 -0.1099618 0.0054841 -20.051 < 2e-16 ***
DESTIN_SZSGSZ05 -2.1556963 0.0113821 -189.394 < 2e-16 ***
DESTIN_SZSGSZ06 0.4416352 0.0043842 100.734 < 2e-16 ***
DESTIN_SZSGSZ07 -0.3949335 0.0059250 -66.655 < 2e-16 ***
DESTIN_SZSISZ01 -1.2847094 0.0288610 -44.514 < 2e-16 ***
DESTIN_SZSKSZ01 0.3089834 0.0082924 37.261 < 2e-16 ***
DESTIN_SZSKSZ02 1.4139309 0.0059981 235.729 < 2e-16 ***
DESTIN_SZSKSZ03 0.2427688 0.0067373 36.034 < 2e-16 ***
DESTIN_SZSKSZ04 -0.2527488 0.0161286 -15.671 < 2e-16 ***
DESTIN_SZSKSZ05 0.6046051 0.0122766 49.249 < 2e-16 ***
DESTIN_SZSLSZ01 -0.3927387 0.0099790 -39.356 < 2e-16 ***
DESTIN_SZSLSZ04 -0.5942110 0.0086225 -68.914 < 2e-16 ***
DESTIN_SZSRSZ01 -2.6855766 0.0138707 -193.615 < 2e-16 ***
DESTIN_SZTHSZ01 -3.2750084 0.0402668 -81.333 < 2e-16 ***
DESTIN_SZTHSZ03 -1.7964408 0.0261810 -68.616 < 2e-16 ***
DESTIN_SZTHSZ04 -2.6323994 0.0241831 -108.853 < 2e-16 ***
DESTIN_SZTHSZ06 -1.9444390 0.0166052 -117.098 < 2e-16 ***
DESTIN_SZTMSZ01 0.3856054 0.0063086 61.123 < 2e-16 ***
DESTIN_SZTMSZ02 1.8586526 0.0039229 473.790 < 2e-16 ***
DESTIN_SZTMSZ03 1.2601385 0.0044018 286.278 < 2e-16 ***
DESTIN_SZTMSZ04 1.5884327 0.0043362 366.316 < 2e-16 ***
DESTIN_SZTMSZ05 1.0377553 0.0063271 164.018 < 2e-16 ***
DESTIN_SZTNSZ01 -0.9954275 0.0080345 -123.895 < 2e-16 ***
DESTIN_SZTNSZ02 -2.1032696 0.0109228 -192.557 < 2e-16 ***
DESTIN_SZTNSZ03 -2.0044892 0.0129215 -155.128 < 2e-16 ***
DESTIN_SZTNSZ04 -0.9750326 0.0081677 -119.377 < 2e-16 ***
DESTIN_SZTPSZ01 -0.7788383 0.0068769 -113.254 < 2e-16 ***
DESTIN_SZTPSZ02 0.2866080 0.0042843 66.898 < 2e-16 ***
DESTIN_SZTPSZ03 -0.8749841 0.0065470 -133.646 < 2e-16 ***
DESTIN_SZTPSZ04 -1.6852792 0.0081488 -206.812 < 2e-16 ***
DESTIN_SZTPSZ05 -1.3721346 0.0068230 -201.104 < 2e-16 ***
DESTIN_SZTPSZ06 -0.7832133 0.0069164 -113.239 < 2e-16 ***
DESTIN_SZTPSZ07 -2.3109126 0.0130830 -176.635 < 2e-16 ***
DESTIN_SZTPSZ08 -1.6406531 0.0104897 -156.406 < 2e-16 ***
DESTIN_SZTPSZ09 -0.5636273 0.0076848 -73.343 < 2e-16 ***
DESTIN_SZTPSZ10 -1.5640843 0.0099984 -156.433 < 2e-16 ***
DESTIN_SZTPSZ11 -0.3700482 0.0059834 -61.846 < 2e-16 ***
DESTIN_SZTPSZ12 -0.8828228 0.0072302 -122.102 < 2e-16 ***
DESTIN_SZTSSZ01 0.3529526 0.0221887 15.907 < 2e-16 ***
DESTIN_SZTSSZ02 1.0265792 0.0153515 66.871 < 2e-16 ***
DESTIN_SZTSSZ03 1.9647347 0.0092388 212.662 < 2e-16 ***
DESTIN_SZTSSZ04 1.8649836 0.0089976 207.275 < 2e-16 ***
DESTIN_SZTSSZ05 2.8437058 0.0085738 331.673 < 2e-16 ***
DESTIN_SZTSSZ06 3.4238870 0.0161304 212.263 < 2e-16 ***
DESTIN_SZWCSZ01 2.9550693 0.0051690 571.689 < 2e-16 ***
DESTIN_SZWCSZ02 -0.8214103 0.0129213 -63.570 < 2e-16 ***
DESTIN_SZWCSZ03 -1.7393427 0.0347472 -50.057 < 2e-16 ***
DESTIN_SZWDSZ01 1.3424417 0.0039957 335.972 < 2e-16 ***
DESTIN_SZWDSZ02 -0.2103694 0.0068601 -30.666 < 2e-16 ***
DESTIN_SZWDSZ03 0.8268551 0.0051363 160.983 < 2e-16 ***
DESTIN_SZWDSZ04 -0.0643997 0.0079076 -8.144 3.82e-16 ***
DESTIN_SZWDSZ05 0.0451985 0.0075732 5.968 2.40e-09 ***
DESTIN_SZWDSZ06 0.6981330 0.0051936 134.423 < 2e-16 ***
DESTIN_SZWDSZ07 -0.0403233 0.0067749 -5.952 2.65e-09 ***
DESTIN_SZWDSZ08 0.2850631 0.0069225 41.179 < 2e-16 ***
DESTIN_SZWDSZ09 1.3016106 0.0050365 258.433 < 2e-16 ***
DESTIN_SZYSSZ01 0.7598564 0.0044144 172.133 < 2e-16 ***
DESTIN_SZYSSZ02 0.2648061 0.0058239 45.469 < 2e-16 ***
DESTIN_SZYSSZ03 -0.0412163 0.0068337 -6.031 1.63e-09 ***
DESTIN_SZYSSZ04 -0.0561054 0.0060829 -9.223 < 2e-16 ***
DESTIN_SZYSSZ05 -0.9970159 0.0121827 -81.839 < 2e-16 ***
DESTIN_SZYSSZ06 -1.3808376 0.0125738 -109.819 < 2e-16 ***
DESTIN_SZYSSZ07 -0.7128364 0.0165296 -43.125 < 2e-16 ***
DESTIN_SZYSSZ08 0.9409510 0.0045886 205.064 < 2e-16 ***
DESTIN_SZYSSZ09 0.3738436 0.0047971 77.930 < 2e-16 ***
log(ORIGIN_AGE25_64) 0.1928847 0.0001667 1157.214 < 2e-16 ***
log(dist) -1.7828141 0.0004794 -3718.501 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 36117615 on 14273 degrees of freedom
Residual deviance: 12319763 on 13992 degrees of freedom
AIC: 12404881
Number of Fisher Scoring iterations: 7How the constraints hold for destinations
CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values)[1] 0.496166Doubly constrained
dbcSIM <- glm(formula = TRIPS ~
ORIGIN_SZ +
DESTIN_SZ +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(dbcSIM)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + DESTIN_SZ + log(dist), family = poisson(link = "log"),
data = SIM_data, na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 21.9587595 0.0066831 3285.715 < 2e-16 ***
ORIGIN_SZAMSZ02 0.4778050 0.0054127 88.275 < 2e-16 ***
ORIGIN_SZAMSZ03 0.2895973 0.0055517 52.163 < 2e-16 ***
ORIGIN_SZAMSZ04 -0.2628080 0.0060720 -43.282 < 2e-16 ***
ORIGIN_SZAMSZ05 -0.2631404 0.0069008 -38.132 < 2e-16 ***
ORIGIN_SZAMSZ06 0.1722337 0.0062028 27.767 < 2e-16 ***
ORIGIN_SZAMSZ07 -0.9883200 0.0111224 -88.859 < 2e-16 ***
ORIGIN_SZAMSZ08 -0.4052821 0.0104095 -38.934 < 2e-16 ***
ORIGIN_SZAMSZ09 0.0356290 0.0064816 5.497 3.86e-08 ***
ORIGIN_SZAMSZ10 0.4815569 0.0055521 86.735 < 2e-16 ***
ORIGIN_SZAMSZ11 -1.4440079 0.0146079 -98.851 < 2e-16 ***
ORIGIN_SZAMSZ12 -1.7862677 0.0128071 -139.475 < 2e-16 ***
ORIGIN_SZBDSZ01 0.8653749 0.0054381 159.132 < 2e-16 ***
ORIGIN_SZBDSZ02 0.0841000 0.0062834 13.385 < 2e-16 ***
ORIGIN_SZBDSZ03 0.3158343 0.0057510 54.918 < 2e-16 ***
ORIGIN_SZBDSZ04 1.4556701 0.0049986 291.215 < 2e-16 ***
ORIGIN_SZBDSZ05 0.6363125 0.0057193 111.257 < 2e-16 ***
ORIGIN_SZBDSZ06 0.6749341 0.0058650 115.078 < 2e-16 ***
ORIGIN_SZBDSZ07 -1.2176407 0.0113698 -107.095 < 2e-16 ***
ORIGIN_SZBDSZ08 -0.9803580 0.0105604 -92.833 < 2e-16 ***
ORIGIN_SZBKSZ01 -0.2919642 0.0080763 -36.151 < 2e-16 ***
ORIGIN_SZBKSZ02 0.4609570 0.0067997 67.791 < 2e-16 ***
ORIGIN_SZBKSZ03 0.6273448 0.0065989 95.068 < 2e-16 ***
ORIGIN_SZBKSZ04 -0.2499063 0.0076555 -32.644 < 2e-16 ***
ORIGIN_SZBKSZ05 -0.2628428 0.0078905 -33.311 < 2e-16 ***
ORIGIN_SZBKSZ06 -0.2174034 0.0075134 -28.936 < 2e-16 ***
ORIGIN_SZBKSZ07 0.7094093 0.0058574 121.114 < 2e-16 ***
ORIGIN_SZBKSZ08 -0.1614362 0.0067626 -23.872 < 2e-16 ***
ORIGIN_SZBKSZ09 -0.2739085 0.0072969 -37.537 < 2e-16 ***
ORIGIN_SZBLSZ01 -2.4281074 0.0181172 -134.022 < 2e-16 ***
ORIGIN_SZBLSZ02 -2.7305447 0.0219341 -124.489 < 2e-16 ***
ORIGIN_SZBLSZ03 -3.3071431 0.0540398 -61.198 < 2e-16 ***
ORIGIN_SZBLSZ04 -2.4550671 0.0263946 -93.014 < 2e-16 ***
ORIGIN_SZBMSZ01 0.1198976 0.0065964 18.176 < 2e-16 ***
ORIGIN_SZBMSZ02 -1.3908667 0.0083230 -167.112 < 2e-16 ***
ORIGIN_SZBMSZ03 -0.6999122 0.0069754 -100.339 < 2e-16 ***
ORIGIN_SZBMSZ04 -0.2691159 0.0066184 -40.662 < 2e-16 ***
ORIGIN_SZBMSZ05 -2.6163780 0.0190989 -136.991 < 2e-16 ***
ORIGIN_SZBMSZ06 -2.9729956 0.0197182 -150.774 < 2e-16 ***
ORIGIN_SZBMSZ07 -0.7309916 0.0072407 -100.956 < 2e-16 ***
ORIGIN_SZBMSZ08 -1.0019514 0.0073169 -136.936 < 2e-16 ***
ORIGIN_SZBMSZ09 -1.3667460 0.0105325 -129.764 < 2e-16 ***
ORIGIN_SZBMSZ10 -1.6907268 0.0106687 -158.476 < 2e-16 ***
ORIGIN_SZBMSZ11 -1.2288802 0.0082919 -148.202 < 2e-16 ***
ORIGIN_SZBMSZ12 -1.6517767 0.0115101 -143.507 < 2e-16 ***
ORIGIN_SZBMSZ13 -0.7251351 0.0075289 -96.314 < 2e-16 ***
ORIGIN_SZBMSZ14 -1.1534912 0.0082629 -139.599 < 2e-16 ***
ORIGIN_SZBMSZ15 -0.5476774 0.0075710 -72.339 < 2e-16 ***
ORIGIN_SZBMSZ16 -1.5195034 0.0111459 -136.329 < 2e-16 ***
ORIGIN_SZBMSZ17 -1.6026767 0.0184419 -86.904 < 2e-16 ***
ORIGIN_SZBPSZ01 0.5571291 0.0071866 77.523 < 2e-16 ***
ORIGIN_SZBPSZ02 0.0523197 0.0082259 6.360 2.01e-10 ***
ORIGIN_SZBPSZ03 0.2942047 0.0080482 36.555 < 2e-16 ***
ORIGIN_SZBPSZ04 0.6246296 0.0065878 94.816 < 2e-16 ***
ORIGIN_SZBPSZ05 0.8663708 0.0060852 142.372 < 2e-16 ***
ORIGIN_SZBPSZ06 -0.9896182 0.0109551 -90.334 < 2e-16 ***
ORIGIN_SZBPSZ07 -0.5219250 0.0101830 -51.255 < 2e-16 ***
ORIGIN_SZBSSZ01 0.3299588 0.0066440 49.663 < 2e-16 ***
ORIGIN_SZBSSZ02 0.2851357 0.0057077 49.956 < 2e-16 ***
ORIGIN_SZBSSZ03 -0.2084740 0.0063364 -32.901 < 2e-16 ***
ORIGIN_SZBTSZ01 0.1425664 0.0071103 20.051 < 2e-16 ***
ORIGIN_SZBTSZ02 -0.5591999 0.0093616 -59.733 < 2e-16 ***
ORIGIN_SZBTSZ03 -0.3648190 0.0081677 -44.666 < 2e-16 ***
ORIGIN_SZBTSZ04 -1.4555078 0.0120138 -121.152 < 2e-16 ***
ORIGIN_SZBTSZ05 -0.8635510 0.0133848 -64.517 < 2e-16 ***
ORIGIN_SZBTSZ06 -1.1383111 0.0106421 -106.963 < 2e-16 ***
ORIGIN_SZBTSZ07 -2.3477669 0.0160858 -145.953 < 2e-16 ***
ORIGIN_SZBTSZ08 -1.2918779 0.0124862 -103.464 < 2e-16 ***
ORIGIN_SZCBSZ01 -3.3713588 0.0578683 -58.259 < 2e-16 ***
ORIGIN_SZCCSZ01 -0.6029242 0.0153385 -39.308 < 2e-16 ***
ORIGIN_SZCHSZ01 -0.7641380 0.0135100 -56.561 < 2e-16 ***
ORIGIN_SZCHSZ02 -0.8400736 0.0101951 -82.400 < 2e-16 ***
ORIGIN_SZCHSZ03 1.2753127 0.0072576 175.720 < 2e-16 ***
ORIGIN_SZCKSZ01 0.2470943 0.0067135 36.806 < 2e-16 ***
ORIGIN_SZCKSZ02 0.5793581 0.0070498 82.181 < 2e-16 ***
ORIGIN_SZCKSZ03 1.0795767 0.0060642 178.025 < 2e-16 ***
ORIGIN_SZCKSZ04 1.4947920 0.0063122 236.808 < 2e-16 ***
ORIGIN_SZCKSZ05 0.7457580 0.0074071 100.681 < 2e-16 ***
ORIGIN_SZCKSZ06 0.5760952 0.0094861 60.730 < 2e-16 ***
ORIGIN_SZCLSZ01 -0.9061335 0.0098617 -91.884 < 2e-16 ***
ORIGIN_SZCLSZ02 -1.7609479 0.0156124 -112.791 < 2e-16 ***
ORIGIN_SZCLSZ03 -1.0081325 0.0095171 -105.929 < 2e-16 ***
ORIGIN_SZCLSZ04 0.6181200 0.0057953 106.659 < 2e-16 ***
ORIGIN_SZCLSZ05 -2.0462335 0.0168934 -121.127 < 2e-16 ***
ORIGIN_SZCLSZ06 0.7902389 0.0055680 141.924 < 2e-16 ***
ORIGIN_SZCLSZ07 -0.5472929 0.0071001 -77.082 < 2e-16 ***
ORIGIN_SZCLSZ08 -0.2197650 0.0077460 -28.372 < 2e-16 ***
ORIGIN_SZCLSZ09 -1.8175782 0.0195989 -92.739 < 2e-16 ***
ORIGIN_SZDTSZ02 -3.7618796 0.0872098 -43.136 < 2e-16 ***
ORIGIN_SZDTSZ03 -3.4514766 0.0840812 -41.049 < 2e-16 ***
ORIGIN_SZDTSZ13 -3.0627578 0.0352485 -86.891 < 2e-16 ***
ORIGIN_SZGLSZ01 -1.8055929 0.0111938 -161.303 < 2e-16 ***
ORIGIN_SZGLSZ02 -0.1588829 0.0061413 -25.871 < 2e-16 ***
ORIGIN_SZGLSZ03 -0.2508524 0.0064276 -39.027 < 2e-16 ***
ORIGIN_SZGLSZ04 0.8819358 0.0051993 169.627 < 2e-16 ***
ORIGIN_SZGLSZ05 0.6062778 0.0053735 112.828 < 2e-16 ***
ORIGIN_SZHGSZ01 0.3841503 0.0056776 67.660 < 2e-16 ***
ORIGIN_SZHGSZ02 0.3962330 0.0057579 68.815 < 2e-16 ***
ORIGIN_SZHGSZ03 0.2159531 0.0061671 35.017 < 2e-16 ***
ORIGIN_SZHGSZ04 0.7831941 0.0052216 149.992 < 2e-16 ***
ORIGIN_SZHGSZ05 1.1741558 0.0051799 226.677 < 2e-16 ***
ORIGIN_SZHGSZ06 -0.1891403 0.0065556 -28.852 < 2e-16 ***
ORIGIN_SZHGSZ07 0.3105421 0.0057186 54.304 < 2e-16 ***
ORIGIN_SZHGSZ08 -0.0766364 0.0063474 -12.074 < 2e-16 ***
ORIGIN_SZHGSZ09 -1.2211107 0.0101434 -120.384 < 2e-16 ***
ORIGIN_SZHGSZ10 -3.4844709 0.0504793 -69.028 < 2e-16 ***
ORIGIN_SZJESZ01 0.4916496 0.0063444 77.493 < 2e-16 ***
ORIGIN_SZJESZ02 0.1343893 0.0063762 21.077 < 2e-16 ***
ORIGIN_SZJESZ03 -0.2761723 0.0068085 -40.563 < 2e-16 ***
ORIGIN_SZJESZ04 -1.5932744 0.0121402 -131.240 < 2e-16 ***
ORIGIN_SZJESZ05 -2.3041311 0.0160245 -143.788 < 2e-16 ***
ORIGIN_SZJESZ06 0.2811076 0.0062495 44.981 < 2e-16 ***
ORIGIN_SZJESZ07 -1.9413956 0.0136276 -142.461 < 2e-16 ***
ORIGIN_SZJESZ08 -1.3315645 0.0143168 -93.007 < 2e-16 ***
ORIGIN_SZJESZ09 0.4418314 0.0069208 63.841 < 2e-16 ***
ORIGIN_SZJESZ10 -1.5551555 0.0236523 -65.751 < 2e-16 ***
ORIGIN_SZJESZ11 -1.8888230 0.0224630 -84.086 < 2e-16 ***
ORIGIN_SZJWSZ01 0.2564586 0.0084699 30.279 < 2e-16 ***
ORIGIN_SZJWSZ02 0.6899398 0.0061751 111.729 < 2e-16 ***
ORIGIN_SZJWSZ03 1.4761229 0.0057392 257.198 < 2e-16 ***
ORIGIN_SZJWSZ04 0.5701272 0.0065749 86.713 < 2e-16 ***
ORIGIN_SZJWSZ05 -2.1253657 0.0150769 -140.968 < 2e-16 ***
ORIGIN_SZJWSZ06 -1.5307265 0.0131906 -116.047 < 2e-16 ***
ORIGIN_SZJWSZ07 -2.8801618 0.0360772 -79.833 < 2e-16 ***
ORIGIN_SZJWSZ08 1.4428820 0.0059638 241.938 < 2e-16 ***
ORIGIN_SZJWSZ09 1.8968475 0.0055649 340.860 < 2e-16 ***
ORIGIN_SZKLSZ01 0.1116580 0.0059844 18.658 < 2e-16 ***
ORIGIN_SZKLSZ02 -0.9618787 0.0077344 -124.364 < 2e-16 ***
ORIGIN_SZKLSZ03 -0.7070626 0.0070275 -100.613 < 2e-16 ***
ORIGIN_SZKLSZ04 -2.2742765 0.0139991 -162.459 < 2e-16 ***
ORIGIN_SZKLSZ05 -1.1907262 0.0123719 -96.244 < 2e-16 ***
ORIGIN_SZKLSZ06 -5.9774897 0.1857994 -32.172 < 2e-16 ***
ORIGIN_SZKLSZ07 -1.4258369 0.0103083 -138.320 < 2e-16 ***
ORIGIN_SZKLSZ08 -1.7625888 0.0116107 -151.808 < 2e-16 ***
ORIGIN_SZLKSZ01 -2.0541388 0.0448216 -45.829 < 2e-16 ***
ORIGIN_SZMDSZ01 -0.8571117 0.0321054 -26.697 < 2e-16 ***
ORIGIN_SZMDSZ02 -0.6034597 0.0120724 -49.987 < 2e-16 ***
ORIGIN_SZMDSZ03 -2.1681163 0.0201078 -107.825 < 2e-16 ***
ORIGIN_SZMPSZ01 -0.9331562 0.0096218 -96.984 < 2e-16 ***
ORIGIN_SZMPSZ02 -1.0268229 0.0081379 -126.178 < 2e-16 ***
ORIGIN_SZMPSZ03 0.0054001 0.0066875 0.807 0.419385
ORIGIN_SZMUSZ02 -3.6269863 0.1105492 -32.809 < 2e-16 ***
ORIGIN_SZNTSZ01 -3.0593717 0.0399843 -76.514 < 2e-16 ***
ORIGIN_SZNTSZ02 -3.3331415 0.0251754 -132.397 < 2e-16 ***
ORIGIN_SZNTSZ03 -0.8351522 0.0090372 -92.413 < 2e-16 ***
ORIGIN_SZNTSZ05 -4.2082472 0.0583343 -72.140 < 2e-16 ***
ORIGIN_SZNTSZ06 -3.8549296 0.0593793 -64.920 < 2e-16 ***
ORIGIN_SZNVSZ01 0.2789069 0.0056024 49.784 < 2e-16 ***
ORIGIN_SZNVSZ02 -0.6036857 0.0077126 -78.273 < 2e-16 ***
ORIGIN_SZNVSZ03 -1.0072683 0.0092678 -108.685 < 2e-16 ***
ORIGIN_SZNVSZ04 -0.8723996 0.0101399 -86.037 < 2e-16 ***
ORIGIN_SZNVSZ05 -2.1552928 0.0183064 -117.734 < 2e-16 ***
ORIGIN_SZPGSZ01 0.0520607 0.0157846 3.298 0.000973 ***
ORIGIN_SZPGSZ02 -0.3481687 0.0089328 -38.976 < 2e-16 ***
ORIGIN_SZPGSZ03 0.9095292 0.0058835 154.590 < 2e-16 ***
ORIGIN_SZPGSZ04 1.3653717 0.0054727 249.489 < 2e-16 ***
ORIGIN_SZPGSZ05 0.3762720 0.0073841 50.957 < 2e-16 ***
ORIGIN_SZPLSZ01 -0.9142754 0.0136552 -66.954 < 2e-16 ***
ORIGIN_SZPLSZ02 -1.0987582 0.0175891 -62.468 < 2e-16 ***
ORIGIN_SZPLSZ03 -2.3427113 0.0474176 -49.406 < 2e-16 ***
ORIGIN_SZPLSZ04 -2.9140779 0.0374458 -77.821 < 2e-16 ***
ORIGIN_SZPLSZ05 -2.2381965 0.0261572 -85.567 < 2e-16 ***
ORIGIN_SZPNSZ01 0.9659006 0.0075177 128.484 < 2e-16 ***
ORIGIN_SZPNSZ02 -0.0158348 0.0143869 -1.101 0.271053
ORIGIN_SZPNSZ03 -2.1837321 0.0224396 -97.316 < 2e-16 ***
ORIGIN_SZPNSZ04 -3.2481509 0.0370762 -87.608 < 2e-16 ***
ORIGIN_SZPNSZ05 -2.0450679 0.0328165 -62.318 < 2e-16 ***
ORIGIN_SZPRSZ01 -0.6701245 0.0141567 -47.336 < 2e-16 ***
ORIGIN_SZPRSZ02 0.7931907 0.0058079 136.570 < 2e-16 ***
ORIGIN_SZPRSZ03 0.4249094 0.0058610 72.498 < 2e-16 ***
ORIGIN_SZPRSZ04 -0.8529967 0.0090997 -93.739 < 2e-16 ***
ORIGIN_SZPRSZ05 0.7865479 0.0055282 142.278 < 2e-16 ***
ORIGIN_SZPRSZ06 -1.3303664 0.0134512 -98.903 < 2e-16 ***
ORIGIN_SZPRSZ07 -3.0458370 0.0181514 -167.802 < 2e-16 ***
ORIGIN_SZPRSZ08 -0.5342399 0.0075966 -70.327 < 2e-16 ***
ORIGIN_SZQTSZ01 -0.2548930 0.0086485 -29.473 < 2e-16 ***
ORIGIN_SZQTSZ02 -0.8662439 0.0076549 -113.162 < 2e-16 ***
ORIGIN_SZQTSZ03 -0.0890168 0.0072455 -12.286 < 2e-16 ***
ORIGIN_SZQTSZ04 -1.4634370 0.0089384 -163.724 < 2e-16 ***
ORIGIN_SZQTSZ05 -0.6535669 0.0077612 -84.210 < 2e-16 ***
ORIGIN_SZQTSZ06 -0.8275765 0.0081835 -101.128 < 2e-16 ***
ORIGIN_SZQTSZ07 -1.5369800 0.0112808 -136.248 < 2e-16 ***
ORIGIN_SZQTSZ08 -0.4437979 0.0075302 -58.936 < 2e-16 ***
ORIGIN_SZQTSZ09 -0.8184934 0.0083589 -97.918 < 2e-16 ***
ORIGIN_SZQTSZ10 -0.6906597 0.0080980 -85.288 < 2e-16 ***
ORIGIN_SZQTSZ11 -2.3251162 0.0154191 -150.795 < 2e-16 ***
ORIGIN_SZQTSZ12 -3.0442790 0.0208985 -145.670 < 2e-16 ***
ORIGIN_SZQTSZ13 -0.7241013 0.0093441 -77.493 < 2e-16 ***
ORIGIN_SZQTSZ14 -1.8225351 0.0138207 -131.870 < 2e-16 ***
ORIGIN_SZQTSZ15 -0.8720806 0.0138589 -62.926 < 2e-16 ***
ORIGIN_SZRCSZ01 -1.8063415 0.0144295 -125.184 < 2e-16 ***
ORIGIN_SZRCSZ06 -0.5370905 0.0101573 -52.877 < 2e-16 ***
ORIGIN_SZRVSZ01 -2.7426167 0.0341386 -80.338 < 2e-16 ***
ORIGIN_SZRVSZ02 -3.0827269 0.0302299 -101.976 < 2e-16 ***
ORIGIN_SZRVSZ03 -2.9133853 0.0262543 -110.968 < 2e-16 ***
ORIGIN_SZRVSZ04 -3.4220022 0.0582209 -58.776 < 2e-16 ***
ORIGIN_SZRVSZ05 -2.6206257 0.0197470 -132.710 < 2e-16 ***
ORIGIN_SZSBSZ01 0.1010337 0.0085117 11.870 < 2e-16 ***
ORIGIN_SZSBSZ02 -0.8810456 0.0098244 -89.680 < 2e-16 ***
ORIGIN_SZSBSZ03 0.8303668 0.0063009 131.785 < 2e-16 ***
ORIGIN_SZSBSZ04 0.3489128 0.0071456 48.829 < 2e-16 ***
ORIGIN_SZSBSZ05 -0.3182914 0.0085560 -37.201 < 2e-16 ***
ORIGIN_SZSBSZ06 -0.9074308 0.0200035 -45.364 < 2e-16 ***
ORIGIN_SZSBSZ07 -0.2217124 0.0167188 -13.261 < 2e-16 ***
ORIGIN_SZSBSZ08 -1.3007367 0.0178771 -72.760 < 2e-16 ***
ORIGIN_SZSBSZ09 -0.9813703 0.0107885 -90.965 < 2e-16 ***
ORIGIN_SZSESZ02 1.1283424 0.0054209 208.146 < 2e-16 ***
ORIGIN_SZSESZ03 1.2389996 0.0051926 238.610 < 2e-16 ***
ORIGIN_SZSESZ04 0.7535119 0.0060371 124.814 < 2e-16 ***
ORIGIN_SZSESZ05 -0.2347978 0.0071482 -32.847 < 2e-16 ***
ORIGIN_SZSESZ06 0.9520620 0.0057572 165.368 < 2e-16 ***
ORIGIN_SZSESZ07 -2.4296685 0.0231677 -104.873 < 2e-16 ***
ORIGIN_SZSGSZ01 -0.6995899 0.0099969 -69.980 < 2e-16 ***
ORIGIN_SZSGSZ02 -1.2602157 0.0111471 -113.053 < 2e-16 ***
ORIGIN_SZSGSZ03 0.0725860 0.0061970 11.713 < 2e-16 ***
ORIGIN_SZSGSZ04 0.2738315 0.0057524 47.603 < 2e-16 ***
ORIGIN_SZSGSZ05 -2.0207710 0.0119838 -168.625 < 2e-16 ***
ORIGIN_SZSGSZ06 0.4885608 0.0054646 89.404 < 2e-16 ***
ORIGIN_SZSGSZ07 -0.8892155 0.0075074 -118.445 < 2e-16 ***
ORIGIN_SZSKSZ01 -0.3682754 0.0108025 -34.092 < 2e-16 ***
ORIGIN_SZSKSZ02 1.1826086 0.0071388 165.659 < 2e-16 ***
ORIGIN_SZSKSZ03 -0.3230177 0.0101683 -31.767 < 2e-16 ***
ORIGIN_SZSKSZ04 -1.8504236 0.0362400 -51.060 < 2e-16 ***
ORIGIN_SZSKSZ05 -0.2759035 0.0185157 -14.901 < 2e-16 ***
ORIGIN_SZSLSZ01 -2.2757902 0.0348766 -65.253 < 2e-16 ***
ORIGIN_SZSLSZ04 -0.0899820 0.0090356 -9.959 < 2e-16 ***
ORIGIN_SZSRSZ01 -2.1460151 0.0187871 -114.228 < 2e-16 ***
ORIGIN_SZTHSZ01 -2.6851549 0.0571841 -46.956 < 2e-16 ***
ORIGIN_SZTHSZ03 -1.0121495 0.0275551 -36.732 < 2e-16 ***
ORIGIN_SZTHSZ04 -2.6129645 0.0345167 -75.701 < 2e-16 ***
ORIGIN_SZTHSZ06 -1.7229100 0.0208134 -82.779 < 2e-16 ***
ORIGIN_SZTMSZ01 -0.2254986 0.0070312 -32.071 < 2e-16 ***
ORIGIN_SZTMSZ02 1.7271575 0.0049219 350.914 < 2e-16 ***
ORIGIN_SZTMSZ03 0.9891319 0.0052266 189.250 < 2e-16 ***
ORIGIN_SZTMSZ04 0.2018090 0.0062114 32.490 < 2e-16 ***
ORIGIN_SZTMSZ05 -1.1882870 0.0125842 -94.427 < 2e-16 ***
ORIGIN_SZTNSZ01 -1.6122620 0.0141911 -113.611 < 2e-16 ***
ORIGIN_SZTNSZ02 -1.5630967 0.0112227 -139.280 < 2e-16 ***
ORIGIN_SZTNSZ03 -2.0739538 0.0149298 -138.914 < 2e-16 ***
ORIGIN_SZTNSZ04 -0.2816960 0.0085295 -33.026 < 2e-16 ***
ORIGIN_SZTPSZ01 -0.7822239 0.0077901 -100.412 < 2e-16 ***
ORIGIN_SZTPSZ02 0.5735478 0.0053042 108.131 < 2e-16 ***
ORIGIN_SZTPSZ03 -0.8748650 0.0074202 -117.903 < 2e-16 ***
ORIGIN_SZTPSZ04 -0.8537831 0.0069792 -122.332 < 2e-16 ***
ORIGIN_SZTPSZ05 -0.5581114 0.0077012 -72.471 < 2e-16 ***
ORIGIN_SZTPSZ06 0.0262001 0.0075241 3.482 0.000497 ***
ORIGIN_SZTPSZ07 -0.5969952 0.0074272 -80.380 < 2e-16 ***
ORIGIN_SZTPSZ08 -1.0537959 0.0111297 -94.683 < 2e-16 ***
ORIGIN_SZTPSZ09 -0.9588508 0.0081314 -117.920 < 2e-16 ***
ORIGIN_SZTPSZ10 -1.1177249 0.0089403 -125.021 < 2e-16 ***
ORIGIN_SZTPSZ11 -0.2799677 0.0067135 -41.702 < 2e-16 ***
ORIGIN_SZTPSZ12 -0.8898871 0.0080215 -110.938 < 2e-16 ***
ORIGIN_SZTSSZ01 -2.6146463 0.0521606 -50.127 < 2e-16 ***
ORIGIN_SZTSSZ02 0.1682588 0.0119965 14.026 < 2e-16 ***
ORIGIN_SZTSSZ03 0.2587653 0.0123809 20.900 < 2e-16 ***
ORIGIN_SZTSSZ04 -0.5473825 0.0135215 -40.482 < 2e-16 ***
ORIGIN_SZTSSZ05 -0.9967379 0.0206068 -48.369 < 2e-16 ***
ORIGIN_SZTSSZ06 0.4933147 0.0229597 21.486 < 2e-16 ***
ORIGIN_SZWCSZ01 1.2524706 0.0111133 112.700 < 2e-16 ***
ORIGIN_SZWCSZ02 -2.8544820 0.0347805 -82.071 < 2e-16 ***
ORIGIN_SZWCSZ03 -5.1277334 0.1475585 -34.751 < 2e-16 ***
ORIGIN_SZWDSZ01 1.4725308 0.0056496 260.645 < 2e-16 ***
ORIGIN_SZWDSZ02 0.1571680 0.0064909 24.214 < 2e-16 ***
ORIGIN_SZWDSZ03 1.2584097 0.0061471 204.717 < 2e-16 ***
ORIGIN_SZWDSZ04 0.8578765 0.0069277 123.833 < 2e-16 ***
ORIGIN_SZWDSZ05 0.1702728 0.0069687 24.434 < 2e-16 ***
ORIGIN_SZWDSZ06 0.1736910 0.0069507 24.989 < 2e-16 ***
ORIGIN_SZWDSZ07 -1.5610176 0.0100803 -154.859 < 2e-16 ***
ORIGIN_SZWDSZ08 -0.9490906 0.0102047 -93.005 < 2e-16 ***
ORIGIN_SZWDSZ09 1.2107011 0.0062294 194.354 < 2e-16 ***
ORIGIN_SZYSSZ01 -0.3324158 0.0074537 -44.598 < 2e-16 ***
ORIGIN_SZYSSZ02 0.8177113 0.0066108 123.693 < 2e-16 ***
ORIGIN_SZYSSZ03 1.6751777 0.0058470 286.503 < 2e-16 ***
ORIGIN_SZYSSZ04 0.8130044 0.0059025 137.738 < 2e-16 ***
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DESTIN_SZTSSZ01 -1.6271921 0.0238498 -68.227 < 2e-16 ***
DESTIN_SZTSSZ02 -0.3340439 0.0169137 -19.750 < 2e-16 ***
DESTIN_SZTSSZ03 0.3924580 0.0111060 35.338 < 2e-16 ***
DESTIN_SZTSSZ04 0.4169932 0.0114926 36.283 < 2e-16 ***
DESTIN_SZTSSZ05 1.3206287 0.0120381 109.704 < 2e-16 ***
DESTIN_SZTSSZ06 2.4023725 0.0192840 124.579 < 2e-16 ***
DESTIN_SZWCSZ01 2.0697378 0.0061379 337.206 < 2e-16 ***
DESTIN_SZWCSZ02 -2.0934025 0.0134782 -155.318 < 2e-16 ***
DESTIN_SZWCSZ03 -3.0670149 0.0349748 -87.692 < 2e-16 ***
DESTIN_SZWDSZ01 1.0113215 0.0051461 196.522 < 2e-16 ***
DESTIN_SZWDSZ02 -1.3383793 0.0076482 -174.993 < 2e-16 ***
DESTIN_SZWDSZ03 0.3394361 0.0060396 56.202 < 2e-16 ***
DESTIN_SZWDSZ04 -0.8324928 0.0086019 -96.780 < 2e-16 ***
DESTIN_SZWDSZ05 -0.8279090 0.0083251 -99.447 < 2e-16 ***
DESTIN_SZWDSZ06 -0.2252899 0.0061074 -36.888 < 2e-16 ***
DESTIN_SZWDSZ07 -1.3638599 0.0077990 -174.877 < 2e-16 ***
DESTIN_SZWDSZ08 -0.4350176 0.0077566 -56.083 < 2e-16 ***
DESTIN_SZWDSZ09 0.5461048 0.0060745 89.901 < 2e-16 ***
DESTIN_SZYSSZ01 0.0243093 0.0053476 4.546 5.47e-06 ***
DESTIN_SZYSSZ02 -0.3398962 0.0065947 -51.540 < 2e-16 ***
DESTIN_SZYSSZ03 -0.3694187 0.0074032 -49.900 < 2e-16 ***
DESTIN_SZYSSZ04 -0.5222848 0.0067396 -77.495 < 2e-16 ***
DESTIN_SZYSSZ05 -1.5460539 0.0124899 -123.784 < 2e-16 ***
DESTIN_SZYSSZ06 -1.5556892 0.0127640 -121.881 < 2e-16 ***
DESTIN_SZYSSZ07 -0.8673403 0.0167723 -51.713 < 2e-16 ***
DESTIN_SZYSSZ08 0.5389364 0.0052540 102.577 < 2e-16 ***
DESTIN_SZYSSZ09 0.1199483 0.0055235 21.716 < 2e-16 ***
log(dist) -1.8906989 0.0005319 -3554.786 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 36117615 on 14273 degrees of freedom
Residual deviance: 8091747 on 13715 degrees of freedom
AIC: 8177420
Number of Fisher Scoring iterations: 7How the constraints hold for destinations
CalcRSquared(dbcSIM$data$TRIPS, dbcSIM$fitted.values)[1] 0.6883675
R-Squared Value Comparison
R squared value for:
Unconstrained Spatial Interaction Model - 0.1694734
Origin Constrained Model - 0.4029115
Destination Constrained Model - 0.496166
Doubly Constrained Model - 0.6883675
Note: There is a relatively greater improvement in the R-squared value
Model comparison
Root Mean Squared Error (RMSE)
model_list <- list(unconstrained=uncSIM,
originConstrained=orcSIM,
destinationConstrained=decSIM,
doublyConstrained=dbcSIM)RSME of all models
compare_performance(model_list,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
-----------------------------------------
unconstrained | glm | 2429.978
originConstrained | glm | 2057.579
destinationConstrained | glm | 1891.724
doublyConstrained | glm | 1487.111Note: The result above reveals that doubly constrained SIM is the best model among all the four SIMs as it has the smallest RMSE value of 1487.111.
Visualising fitted
Visualise observed values and fitted values
Extract the fitted values from each model
df <- as.data.frame(uncSIM$fitted.values) %>%
round(digits = 0)Join the values to SIM_data data frame
SIM_data <- SIM_data %>%
cbind(df) %>%
rename(uncTRIPS = "uncSIM$fitted.values")Repeat for Origin Constrained SIM (i.e. orcSIM)
df <- as.data.frame(orcSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(orcTRIPS = "orcSIM$fitted.values")Repeat for Destination Constrained SIM (i.e. decSIM)
df <- as.data.frame(decSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(decTRIPS = "decSIM$fitted.values")Repeat for Doubly Constrained SIM (i.e. dbcSIM)
df <- as.data.frame(dbcSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(dbcTRIPS = "dbcSIM$fitted.values")unc_p <- ggplot(data = SIM_data,
aes(x = uncTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
orc_p <- ggplot(data = SIM_data,
aes(x = orcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
dec_p <- ggplot(data = SIM_data,
aes(x = decTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
dbc_p <- ggplot(data = SIM_data,
aes(x = dbcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
ggarrange(unc_p, orc_p, dec_p, dbc_p,
ncol = 2,
nrow = 2)`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'